I don't think the OP is asking for an 'anime based off FFXIV', but rather wants to see references from anime in FFXIV. In which case, given the fact there's already tons of pop-culture references in the game from everything from The Simpsons to the music of Bob Dylan, a few anime references would seem almost understated.

Besides, one might think the SCH AF being very much Japanese school uniform-inspired ('sailorfuku') and the miqo'te race as generic anime references which are already in the game.