Let's see...I have a few favorites. I grew up playing Mario games, like Mario Bros. 1, 2, and 3, and then Mario 64. So those are all favorites. And Mario Kart 64...my skill is simply unmatched.
Donkey Kong Country is another big favorite.
The somewhat more recent favorites would be the Elder Scrolls games, Morrowind, Oblivion, and now Skyrim. Skyrim is freaking orgasmic to watch or play. It's better than I could have hoped.
I also love Bethesda's grittier Fallout 3 and Fallout: New Vegas.
I also love the Final Fantasy series, though I've only played 8, 9, 10, 12, and a little of 13. FFVIII is my favorite of those. My boyfriend's favorite is FFVII, which goes for most people who have played it. I hope to try it at some point, but I think part of the love for it is the nostalgia of it. It was the first Final Fantasy game to be really popular. I played 8 first, so that's my favorite. And now I'm rambling. Haha.
I'm a big gamer, basically, though mostly for RPGs, as you can see. I also like a good platformer or FPS every once in a while. I really wanna try out MW3.