my fav genre is action/adventure games, where you run around and jump/shoot/kill stuff, like Robocop vs. Terminator for Sega, Contra 3, the old Mario and Sonic games, or the God of War series.
I also like sports games, (NFL Blitz, NBA Street, Madden of Sega, NBA Jam, and Virtua Tennis and NBA Live before 2001, being some of my Favs)
I also love fighting games, like Killer instinc 2, Capcom vs SNK or Street Fighter III.
I used to be huge into RPG's, like FF7, Chrono Trigger, Xenogear, Parasite Eve and Wild Arms. Even tactical RPG games like FF tactics are cool.
Haven't really played many real-time strategy games that I liked. I'm not big on first-person shooters either, though I liked Metroid Prime and Halo. But as a genre, I could live without it.
Honestly, I'm jus not liking video games like I used to. I bought Batman: Arkam Asylum and Red Dead Redemption for 360 and just couldn't get into them.