I went out and bought Gears of War (the original) and Call of Duty 4 a while back. And while I can't find anything to fault either one ... I still don't think they're any good.
But earlier today I got Star Wars : Force Unleashed, and while it has it's glaring flaws (the camera and aiming mostly) it's still an awesome game. I'm so into it right now I'm actually at a friend''s house right now playing it on an old 13" TV using an RF modulator to hook the 360 up to it. :P
And I also got some DVD games. You know, those games that play on a regular old DVD player and you use the remote to play them.
I already had the original Mad Dog McCree, but I happened across Mad Dog II AND something that I didn't even know existed, Tiger Woods PGA Tour '07. And it's strangely addictive, I'm playing it right now actually. It has it's "flaws" when you consider the limitations of doing a game like that, but it's still pretty cool for what it is. If you see it at your local store, I recommend picking it up. It's 1 to 4 players, 4 different golfers to choose from and 2 courses. A lot better use of the remote in my opinion than Mad Dog, which is a pain to play with that bloody thing.
Now I'm gonna finish up my game, then continue to play either Star Wars Force Unleashed or Lego Star Wars : The Complete Saga.