SAO is the best out of all the series you listed, and the SAOII trial deck has some fairly good cards (you can read this article for instructions on how to modify it on the cheap: http://toptiertears.org/2015/06/29/m...le-beginnings/)

Bake TD is incredibly vanilla and you'll need nothing in it that's not already in the booster, and Monogatari as a whole is pretty weak even in the tiny EN metagame

AW is in the same place as Monogatari, except you won't have easier to find EN cards to make deckbuilding easier