Just look around youtube, I'm not an anime guy myself, but there is a market there. I forget the exact name of this type of game genre, but its mostly a read and choose answer anime type game. If that makes sense
Came here to say that but you beat me to it. Any JRPG is gonna work, I used to play the Fire Emblem and Golden Sun series when I was younger and that stuff was great too.
If you're into MMORPGs i would suggest looking up soul worker online. It's not based on any anime but it has great graphics similar to some anime and as a anime fan myself the gameplay look awesome