Well, since you asked, I'll answer.
In the way of "action" games, I play a lot of the Mario games, though I prefer the older ones.
For racing games, I'm definitely gonna' have to say Mario Kart. They've been great since the days of the SNES, and they've been good ever since. I do miss the jump function, though. I also play a bit of the most simplistic racing game ever: Kirby: Air Ride. Now that you're all laughing at me, I'll point out that, while it's overly simple, it's also exceptionally fun to play with younger siblings.
RPGs, now, I like The Legend of Zelda series, if that really counts. I also like the Final Fantasy stuff, though again I prefer the older ones.
I'm not into flight sims, so nothing there.
I have played MechWarrior, but it didn't run well on my PC. It was fun to see how many different ways I could kill myself. Pity I always did it on accident.
Card games...on the computer, I'm gonna' have to say Solitaire. I can waste days playing Solitaire. I don't know how. If I have an actual deck of cards and a friend or two, then I play a game taught to me by my elder brother's roommate: Chinese Poker. A very strategic game, and there is absolutely no gambing involoved. Only up to three people can play, though. (To clarify, the aforementioned roommate is from China)
On board games, I love chess. I'm not very good at it, but it's still fun. My brother always wins. Another board game I play is Chinese Checkers. The aforementioned roommate plays by different rules than we learned it, though. It took us two games to realize how he was always beating us.
I like trivial Pursuit and similar games, though I really don't have anything to say about them.
Yeah, that's about all I have for my list.