I like both WRPGs and JRPGs (never played a MMORPG). Actually, the only RPG I can think of that I didn't like was Final Fantasy I. Way too much wandering.
Fighting games. But it depends on which ones, actually! I can click with some of them, while others take a lot longer for me to adjust to. However, since I am, by far, an RPG person anyway, I tend mainly to stick to that genre and stray away from anything that doesn't stick to that(with the possible exception of some FPSes which, strangely, I'm developing an interest for again).
Halo series has always been pretty meh to me. I'm a big online player, and playing that game online makes me wonder why anyone plays it (JUMP SHOOT JUMP SHOOT JUMP SHOOT JUMP SHOOT DIE). Also the Sims games (Not sure what they'd be classed as) just leave me bored. I could never find interest in them.