First Person Shooters, some third person (IE - Unreal series, Quake 4, Unreal Tournament series)
Fantasy RPG (IE - World of Warcraft, Everquest, Final Fantasy series)
Most Non-Circuit Racing, some Circuit (IE - NFS series, GT series, PGR series)
Action/Adventure (IE - Devil May Cry series, Star Wars Force, Assassin's Creed, Legend of Zelda series, Castlevania series)
Puzzle (IE - Tetris)

So basically if it's got shooting, racing, sword/gun combat or has roleplay in it, it's a good bet I will try it and/or like it!