1. Turn based-Strategy games. Especially if I customize the soldiers 2. RPGs, mainly JRPGs and Open World RPGs. Outside of the open world ones, I'm not a big fan of Western style RPGs 3.MMORPGs(although I haven't played one in months, not seriously in years) 4. Visual Novels 5. Non-Arcade style FPS 6.Third Person Shooters --- "Online gamers are the most ludicrously entitled beings since Caligula made his horse a senator, and at least the horse never said anything stupid."
Action-adventure/platformer. Better if they have some sort of puzzle element, don't care much about deep combat. Portal, Banjo-Kazooie, Eternal Darkness, Prince of Persia: Sands of Time, Donkey Kong Country 2, Super Mario Bros. 3, Metroid Prime, God of War, etc. I'll play a shooter here and there, and very occasionally a racing game. I've finished two RPG's ever that I enjoyed, both at someone else's recommendation.