My favorite type of games are Firstperson Shooters (FPSs), but my other favorites - Roleplaying (FF7!!), Realtime strategy (Starcraft), and a couple Action (GTA3, I declare it an action game, since its not all shooting :P ) games, they all rate in just about equal, but FPS has been my all-time favorite genre. I don't play many racing games ('cept for Gran Turismo (A-spec) and Need For Speed) but I do enjoy them somewhat, but I do find them troublesome after a while, and I feel that way too about fighting games (DOA3)
However, I absolutely dispise Sports games, but then again, I don't like sports anyway, so heh ;)