Favorite:

P2P game: World of Warcraft

F2P: Toribash

P2W: N/A. I don't really know any P2W game.

FPS: Doom

MMO: World of Warcraft

Console Only (playstation/xbox): are you restricting us to only Playstation and Xbox? If so, I guess Guitar Hero 2. If not, F-Zero GX

Overall Favorite game: F-Zero GX.