LEGO Star Wars: The Original Trilogy: The first game (which covered the prequels) was kind of boring. It was here that the games got the brilliant silent humor that made them shine. If you've never seen the "Luke, I am your father" scene from this game, go look it up on YouTube.
Star Wars Episode I: Racer: My single favorite racing game of all time. Although I hated the damaged parts mechanics, and therefore cheated for invincibility, the game itself was a ton of fun. I usually rocked Neva Kee's Podracer (the one which has both engines attached directly to the cockpit), because having good traction and turning definitely trumped speed in this game.
Star Wars: Tie Fighter: Ah, this game. Fantastic space combat flight sim. Plus it introduced the TIE Defender, which is a great little starfighter.
Star Wars: The Old Republic: Great game, solid story, great characters... Too big, mostly because it's an MMO. If this game was scaled to the size of a game like KotOR, it would be brilliant.
Star Wars: Rogue Squadron: I think. I only have vague memories of this one, mostly of a scene involving ATATs. But I do remember having a blast with it. I need to play a few more Star Wars games so that I can make sure it's the right one.