Here is something I've seen a few other people post about. You get 15 minutes to list the first 15 games you think of that stuck with you in some way. I'll be listing role-playing games on mine:
1) Advanced Dungeons & Dragons
2) Villains & Vigilantes
3) Amber Diceless Role-Playing
4) Star Frontiers
5) Mage: The Ascension
7) D&D 3.5
8) DC Heroes RPG
9) Star Trek RPG (Fasa's version)
10) Extreme Vengeance
11) 7th Sea
13) Marvel Super Heroes
15) Doctor Who (the new RPG; haven't played it but it looks like it has some cool systems to it)
Okay, that took only about five minutes. These were the first 15 games I could think of as having had an influence on my gaming style, having been fun to play, or just looking interesting. There are lots more, but these must be the most important ones since I thought of them first.
I'm sure I'll think of a few more that have had more of an influence on me after I hit the 'Publish Post' button.