I have 5 titles for the 360:
PGR 3 - I really like this game and think the graphics pretty nice. Have had some very fun battles online.
Amped 3 - I think it's fun, still need to finish the story, nice looking terrain. No online capability.
Fight Night 3 - So far I am enjoying this one a lot, I think the graphics look great on it. A few quirks in the game but nothing I have seen that takes away from actual game play. Have not played this online yet.
NBA2K6 - Pretty fun, good graphics, the best time though is if you can get 4 players going IMO. Played once online and got crushed, fun time though.
Dead or Alive 4 - Fun, very fun with a lot of friends over, nice graphics, have not played this one online yet.
Other Games I have tried:
Madden - Downloaded the Demo and was not impressed at all, still playing Madden 2006 on the PS2.
Call of Duty - Seemed fun just not my type of game.
Ghost Recon - Same as call of Duty, seemed fun just not my type of game. I am looking forward to Battlefield for the X360 though.
Need for Speed - Game was pretty fun, story line seemed neat.
Kameo - Not my type of game but I bet when I was a lot younger I would have liked it.
I am very happy with the 5 titles I have purchased so far. There are probably a few other titles I would not mind having but a lot of them are sports titles and I'd rather wait until the 2007 games come out.