I got inspired to make this thread from another thread about Force Commander in the Off-Topic section. 

First Star Wars game (and first game, actually) that I played was Dark Forces.  That was a great game for its day even if I didn't care about much of what it was about seeing as I was fairly young, lol.  I remember the cheesy MIDI music. 

Supremacy/Rebellion - another great game.  I sucked at it though because again I was young at the time and really didn't have a clue, but played it a few times later on and its really good. 

Rogue Squadron!  You can tell this one is old because it was actually called Rogue Squadron 3D.  ZOMG! 3D GRAPHICS!11!!1ONE  Another great game. 

And of course, the X-Wing series.  I had TIE Fighter - brilliant game.  Well, my brother had it.  I remember watching him playing and getting all excited cause he destroyed a X-Wing labelled 'Red 5' - I thought he'd killed Luke.  Hehe.  X-Wing: Alliance was an incredible game, I wish LA would release another game for this series.  It can't stop with XWA - think of how amazing one of those games would be with today's graphics

Jedi Power Battles on the original Playstation!  Classic.  Extremely cheesy name though.  Oh and Demolition.  Hehe that was a pretty fun game, had an original concept.  The single player sucked but it was good fun to play with your mates.