Sci-fi, horror, apocalyptic or medieval with a decent amount of action and at least some character development. (unless horror, that's all about rotten stuff happening!)
I've played tactical/min games since fasa, so I've played star trek/centurion/battletech and I still have a ton of warhammer and wh 40k. My mini game of choice is heroclix, but I also have a decent amount of star wars minis.
I've played every incarnation of D&D. I've played Rifts/heroes unlimited/fantasy, warhammer frp, shadowrun 1-4, star wars rpg(both), paranoia, Call of Cthulhu, boot hill, gurps, Vampire (tabletop only), and some others.