2D Platformer: Super Mario World
3D Platformer: Super Mario Galaxy
WRPG: Fable 2
JRPG: Final Fantasy VI
MMORPG: Final Fantasy XI
RTS: StarCraft 2
Strategy: The game of Go (using cgoban on KGS Go Server... Look it up)
Racing: Gran Turismo 5
FPS: Metroid Prime (Yes, I concider this a FPS... Call it whatever you want :P)
Third Person Shooter: Uncharted 2
Fighting: Street Fighter IV (any version)
Hack and Slash: Diablo III
Side-scrolling Action-Adventure: Super Metroid
Third person Action-Adventure: God of War 3
Open World Action-Adventure: Red Dead Redemption
Survival Horror: Resident Evil (Gamecube)
Psychological Thriller: Heavy Rain
Shoot 'em up: Gradius V