I like pretty much every style of game but based on where I play it.
EG.
FPS - love them on the computer, HATE HATE HATE them on a console
Platformers - Love them on consoles, hate them on the computer
RTS - love them on the computer, hate them on consoles
Action - it really depends on the game, most times you can tell what system it was developed (eg. Max Payne was far better on the PC but Hulk should never have been ported to the PC) for and it typically plays best there
RPGs - same as action but I typically prefer PC.
I prefer not to play most sports games because I could actually be out playing the real sport. With the exception of exadurated sports like SSX or most Racing games.
PS. I always thought Halo was a lame derivative of far better FPSs that came before it. On the other side of that, while I liked all the Half life games, I never saw why people thought they were so far superior to other FPSs, to me they were just another fun FPS.