Dragunities are a relic of a forgotten era, when Synchro Summoning was actually extensively used. As an archetype from the 5D's era, it naturally specializes in fast Synchros, not only of its own archetype but also other, generic Synchros. The archetype is split between 3 types of Main Deck monsters; Dragon-type Tuner monsters, Winged-Beast-type Effect Monsters and Dragon-type Effect Monsters; its Extra Deck Dragons and its Spells.

By the way, these cards weren't released with PSCT, and I'm copying the effects word-for-word.

Dragon-type Tuners

Each Dragon-type Tuner in this archetype has the capability of being equipped as an Equip Card to the other monsters of the archetype. Most of their effects are or can be activated while equipped to another monster, and some can even equip themselves to those monsters. All Dragunity Dragon-type Tuners are levels 1-3.

Dragunity Brandistock
Level 1 | WIND | Dragon / Effect / Tuner
600 / 400
While this card is equipped to a monster, that monster can attack twice during each Battle Phase.
Not the best card, though it can make the deck able to OTK with Barcha or Gae Bulg. Can be searched out via One for One, but needs to be in the Graveyard to be equipped to anything. Run 0-2, depending on the strategy you're aiming for.

Dragunity Corseca
Level 1 | WIND | Dragon / Effect / Tuner
800 / 700
While this card is equipped as an Equip Card to a monster, if the equipped monster destroys an opponent's monster by battle, you can add 1 Level 4 or lower monster with the same Type and Attribute as the equipped monster from your Deck to your hand.
A nice searcher for the archetype, and there are quite a few Main Deck monsters that can get respectable ATK with minimal investment (including even Dux). Still, there are better searchers for the Main Deck monsters within the archetype that don't have as much of a condition. Can be searched by One for One, but like Brandistock, needs to be in the Graveyard to be equipped. 0-1 suggested.

Dragunity Phalanx
Level 2 | WIND | Dragon / Effect / Tuner
500 / 1100
Once per turn, while this card is equipped to a monster as an Equip Card by a card effect, you can Special Summon this card.
Here we go. Phalanx opens up many of the deck's combos, and can recycle itself as a Tuner as many times as you can equip it to a card per turn. This card in the Graveyard makes Dux a 1-turn Level 6 or 8 Synchro, which is pretty strong. Note that Phalanx doesn't have to be equipped to a Dragunity monster to activate its effect, allowing it to support other archetypes that equip monsters, such as Cyberdark. Run 2-3 depending on how easy it is for your deck to dump the card; you really only ever need 1 in your Graveyard at any given time.

Dragunity Aklys
Level 2 | WIND | Dragon / Effect / Tuner
1000 / 800
When this card is Normal Summoned, you can Special Summon 1 "Dragunity" monster from your hand, then equip it with this card. When this card is sent to the Graveyard while equipped to a monster, select 1 card on the field, and destroy it.
Removal never hurts, though the condition on this card can be a bit hard to trigger. It doesn't trigger if you simply send the card it's equipped to to the Graveyard; you actually have to send Aklys to the Graveyard while the card it's equipped to is still on the field. Being mandatory also doesn't help. Only run this card if you run Legionnaire, and probably still 1-2.

Dragunity Javelin
Level 2 | WIND | Dragon / Effect / Tuner
1200 / 800
If this face-up card is destroyed while in the Monster Card Zone, you can equip it to 1 face-up Winged Beast-type "Dragunity" monster you control, instead of sending it to the Graveyard.
Meh. Not really needed, since your Winged-Beasts already equip the Dragons to themselves, and Javelin has no additional effect. Not being a valid discard for Cards of Consonance doesn't help either.

Dragunity Partisan
Level 2 | WIND | Dragon / Effect / Tuner
1200 / 800
When this card is Normal Summoned, you can Special Summon 1 Winged Beast-type "Dragunity" monster from your hand, then equip this card to it as an Equip Card. If this card is equipped as an Equip Card to a monster, the equipped monster is treated as a Tuner monster.
A rather interesting effect. Its first effect is disastrous for your card advantage, but its second effect allows you to make almost any Dragunity monster a Tuner, unlocking levels 4-8 as valid Tuner options. Notably, it technically allows Dragunity decks to summon Accel Synchro monsters by equipping Partisan to Vajrayana or Barcha, but the chances of this are very unlikely. Still, a level 6+ Tuner isn't going to help most of the time. 0-1.

Dragunity Darkspear
Level 3 | WIND | Dragon / Effect / Tuner
1000 / 1000
Once per turn, you can Tribute 1 Dragon-type "Dragunity" monster to select and Special Summon 1 Level 4 or lower Winged Beast-type monster from your Graveyard.
An option to recycle your low-leveled Winged Beasts. However, Dux and Legionnaire only activate their equipping effects on Normal Summon, which limits the uses of Darkspear. Your best targets for this effect are Militum , Tribus and various Winged Beast tech cards you might add. Note that Darkspear can tribute itself to activate its effect. 0-1.

Dragunity Pilum
Level 3 | WIND | Dragon / Effect / Tuner
1400 / 1000
When this card is Normal Summoned, you can Special Summon 1 Winged Beast-Type "Dragunity" monster from your hand and equip this card to it as an Equip Card. If this card is equipped as an Equip Card to a monster, the equipped monster can attack your opponent directly. If it attacks using this effect, the Battle Damage it inflicts to your opponent is halved.
Despite being the strongest Tuner in Dragunity, it's not that great. Not only does it not facilitate Synchros at all, its effect is unnecessary for this archetype.

Winged-Beasts

The Dragunity Winged Beasts are the wielders of the Dragons. Certain ones can equip Dragon-type Dragunity monsters from the Graveyard upon summon, while others have supportive effects for those Tuners.

Dragunity Tribus
Level 1 | WIND | Winged Beast / Effect
500 / 300
When this card is Normal or Special Summoned, you can send 1 Level 3 or lower Dragon-Type monster from your Deck to the Graveyard.
Dumps any Dragon-type Tuner in the archetype. Quite good, and even works on Special Summon. Normal Summoning it is a bit slow though, compared to other ways you can search out those Tuners. Run 1-3, depending on how many other ways to search or dump the Dragons you have in your Deck already.

Dragunity Legionnaire
Level 3 | WIND | Winged Beast / Effect
1200 / 800
When this card is Normal Summoned, you can select 1 Level 3 or lower "Dragunity" Dragon-Type monster in your Graveyard, and equip it to this card as an Equip Card. You can send 1 "Dragunity" card from your Spell & Trap Card Zone to the Graveyard to select 1 face-up monster your opponent controls, and destroy it.
One of the only activators for Aklys, and a nice card destruction option. It does require your all-important Normal Summon, though, which is a bummer. Still, run 2-3 since card destruction is hard to come by inside the archetype.

Dragunity Dux
Level 4 | WIND | Winged Beast / Effect
1500 / 1000
This card gains 200 ATK for each face-up "Dragunity" card you control. When this card is Normal Summoned, you can select 1 Level 3 or lower Dragon-Type "Dragunity" monster in your Graveyard and equip it as an Equip Card to this card.
The second half of the core combo, and overall the core card of the archetype. Dux allows you to use any Dragon-type Tuner in your Graveyard, and becomes a 1900 ATK beater with just its effect. Targeting Phalanx allows you to Synchro Summon any level 6 Synchro Monster; Partisan makes it a level 4 Tuner; Corseca will let you search any Winged Beast "Dragunity" upon destroying anything with under 1900 ATK/DEF; and the list goes on. And as a bonus, it's got 1500 ATK and is Level 4, which means you can search it out with several WIND / Winged Beast searchers. Run 3.

Dragunity Militum
Level 4 | WIND | Winged Beast / Effect
1700 / 1200
Once per turn, you can select 1 "Dragunity" card in your Spell & Trap Card Zone, and Special Summon it.
Another situational effect at best, since 9 times out of 10 the Dragunity Equip Card on the field will be a Phalanx anyway. It notably can summon an equipped Mystletainn or Arma Levyaten if you manage to get them in the S/T Zone. It's also the premier candidate for the equipping effect of Aklys and Partisan, since it becomes a 2-card Level 6 Synchro with Militum's effect. Run 1-2.

Dragunity Angusclavii
Level 5 | WIND | Winged Beast / Effect
2100 / 1000
If this card is equipped with a Dragon-Type "Dragunity" monster, during battle between this attacking card and a Defense Position monster whose DEF is lower than the ATK of this card, inflict the difference as Battle Damage to your opponent.
Probably the worst card in the archetype. Level 5 with no self-summon effect means you have to tribute, and its effect is downright terrible. Run 0.

Dragunity Primus Pilus
Level 5 | WIND | Winged Beast / Effect
2200 / 1600
When this card is Normal or Special Summoned, you can select 1 face-up Winged Beast-Type "Dragunity" monster you control. Equip it with 1 Level 3 or lower Dragon-Type "Dragunity" monster from your Deck.
Considerably better than the other Level 5 member. Summoning this card can be a hassle at times, since it either requires a tribute or a specific S/T, and can't be summoned by Darkspear. Still, once it's summoned it's a 1-card Level 7 Synchro. Run 1-2, alongside some way to summon it.

Dragunity Arma - the Dragon-type Non-Tuners

Finally come the other wielders of the weapons. These high-level Dragons can Special Summon themselves at a cost, but have fairly high stats and can get a Tuner from the Graveyard. Overall they're not the most useful compared to Dux, but they have their uses, especially when you can't Synchro Summon for whatever reason.

Dragunity Arma Mystletainn
Level 6 | WIND | Dragon / Effect
2100 / 1500
You can Special Summon this card from your hand by sending 1 face-up "Dragunity" monster you control to the Graveyard. When this card is Normal or Special Summoned from the hand, you can select 1 Dragon-Type "Dragunity" monster in your Graveyard, and equip it to this card.
Named after Hrómundr Gripsson's Mystletainn, from Icelandic legend. Oddly it has lower stats than Primus Pilus, and is slightly redundant compared to Dux. Still, Dux into Mystletainn can Synchro out Level 12, should you need it. Note that this card as a non-Tuner can't be used to Synchro Summon the Dragunity Synchros, as they require Winged Beast non-Tuners. However, giving Mystletainn a Partisan will make it able to be used as the Dragon Tuner for those Synchros.

Dragunity Arma Levyaten
Level 8 | WIND | Dragon / Effect
2600 / 1200
You can Special Summon this card from your hand or your Graveyard by removing from play 1 face-up monster you control equipped with a "Dragunity" card(s). When this card is Normal or Special Summoned, you can select 1 Dragon-Type monster in your Graveyard, except "Dragunity Arma Leyvaten", and equip it to this card. When this card is sent to the Graveyard by your opponent's card effect, you can select 1 of the monsters that were equipped to this card when it was sent to the Graveyard, and Special Summon that monster from the Graveyard.
Named after Laevateinn, another legendary sword from Icelandic legend. Has quite the cost, but can Special Summon itself from the Graveyard. Most builds don't have too much of a use for this card; the only use it really has is summoning Trident Dragion by equipping a Phalanx. Strangely this card can equip a another Levyaten should you want to loop them with their Summoning effects. Run 1-2 since it's a dead draw and can revive itself anyway. Also useful as discard fodder with Dragon Ravine.

The Spells

Dragunity Divine Lance
Equip Spell
Equip only to a "Dragunity" monster. It gains ATK equal to its Level x 100, also it is unaffected by Trap effects. During your Main Phase: You can equip 1 Dragon-Type "Dragunity" Tuner monster from your Deck to the monster equipped with this card. You can only use this effect of "Dragunity Divine Lance" once per turn.
A power-up, search effect and immunity to Traps in a single Equip Spell? Do want. You can either use it to search out your Phalanxes from your Deck or to make OTKs happen with Barcha and Brandistock, or to just protect your Synchros as they attack. In any case, this is a very good spell to have 3 of. Not searchable though, sadly.

Dragon Mastery
Continuous Spell
Each monster you control that is equipped with 1 or more "Dragunity" monster(s) gains 500 ATK. Once per turn, you can select 1 face-up monster you control, and equip it with 1 Dragon-Type "Dragunity" monster from your hand.
Vastly inferior to Divine Lance, since it can only equip from the hand. You don't really need this card at all. The power-up is nice, but doesn't really make it worth running, especially since your boss monsters sometimes aren't even Dragunities.

Dragon Ravine
Field Spell
Once per turn: You can discard 1 card, then activate 1 of these effects;
● Add 1 Level 4 or lower "Dragunity" monster from your Deck to your hand.
● Send 1 Dragon-Type monster from your Deck to the Graveyard.
Seriously, if only REDMD and Chaos Dragons never existed; this card probably wouldn't have been limited. Dragon Ravine is the single card that runs Dragunities. Not only can it dump a Dragon-type Tuner from your hand, it can either search out one of your Duxes or Legionnaires, or even dump another Dragon-type from your Deck -- including Levyaten. Run as many as possible, since it's sadly Semi-Limited. Searchable by Terraforming.


Dragunity Knights - the Synchros

The boss monsters of this archetype. Each can only be Synchro Summoned by using one Dragon-type Tuner and one Winged Beast non-Tuner, which makes Summoning them rather awkward. Especially Barcha.

Dragunity Knight - Vajrayana
Level 6 | WIND | Dragon / Effect / Synchro
1900 / 1200
1 Dragon-Type Tuner + 1 or more non-Tuner Winged Beast-Type monsters
When this card is Synchro Summoned: You can target 1 Level 3 or lower Dragon-Type "Dragunity" monster in your Graveyard; equip that target to this card. Once per turn: You can send 1 Equip Card equipped to this card to the Graveyard; double this card's ATK until the End Phase.
Named after the Vajra, some sort of club used in rituals. Our first step up from Dux. Vajrayana is not only very easily Synchro'd out by this deck, it can also equip to itself another Phalanx to make any generic Level 8 Synchro. Sadly Barcha is off-limits, since this isn't a Winged Beast. Run 3, since you'll want to use this combo as many times as possible.

Dragunity Knight - Gae Bulg
Level 6 | WIND | Dragon / Effect / Synchro
2000 / 1200
1 Dragon-Type Tuner + 1 or more non-Tuner Winged Beast-Type monsters
If this card attacks or is attacked, during the Damage Step you can remove from play 1 (only) Winged Beast-Type monster from your Graveyard, to have this card gain the ATK of that monster until the End Phase.
Named after Gae Bulg, Cúchulainn's spear. A pretty good attacker, able to get up to 4200 ATK by banishing a Primus Pilus (or higher if you run other Winged Beast tech). Not having any other effect doesn't help though, and if you can Synchro 6 you might as well go for 8. Run 0-1.

Dragunity Knight - Gae Daerg
Level 6 | WIND | Dragon / Effect / Synchro
2400 / 800
1 Dragon-Type Tuner + 1 or more non-Tuner Winged Beast-Type monsters
Once per turn, during your Main Phase, you can add 1 Level 4 or lower Dragon-Type or Winged Beast-Type monster from your Deck to your hand. Then discard 1 Dragon-Type or Winged Beast-Type monster.
Named after Gae Daerg, the spear of Díarmait. Another way to search and dump your cards. Decent if you can't get a Ravine out, and you can keep this card safe with a Divine Lance. Discarding after searching is a nice bonus as well. At least 1 is recommended.

Dragunity Knight - Trident
Level 7 | WIND | Dragon / Effect / Synchro
2400 / 1700
1 Dragon-Type Tuner + 1 or more non-Tuner Winged Beast-Type monsters
Once per turn, you can send up to 3 cards you control to the Graveyard to look at your opponent's Extra Deck and send an equal number of cards to the Graveyard.
Named after the Trident, Poseidon's weapon. An interesting card to use against Extra Deck-heavy decks, especially Pendulum. The only problem is the heavy cost, which can be mitigated by destroying equipped Akylses or Level Eaters. Run or side 1, just in case.

Dragunity Knight - Barcha
Level 8 | WIND | Dragon / Effect / Synchro
2000 / 1700
1 Dragon-Type Tuner + 1 or more non-Tuner Winged Beast-Type monsters
When this card is Synchro Summoned, you can select any number of Dragon-Type "Dragunity" monsters in your Graveyard, and equip them to this card. This card gains 300 ATK for each "Dragunity" card equipped to this card.
Makes OTKs pretty easy on a clear board. Equip a Brandistock and any two other Tuners, then equip a Divine Lance to protect it and add another equip. 4300 damage per attack, and it can attack twice. Or, if the enemy has a monster on the board, equip Brandistock, Pilum (if you run it) and anything else, and attack directly for 1600+ damage per attack. However, this card is difficult to summon, since the standard level climbing won't ever reach it and the only combination of two Dragunities possible is Primus Pilus and Darkspear. Run 0-1, depending on whether or not you want it and what kind of strategy you're going for.