I've always found the Achievement system for the Xbox 360 to be quite addicting but I really only try for the Achievements in a game that I truly love. I really like it when a game has some fun Achievements to accomplish, such as Dead Rising's achievements or Condemned's achievements. Many people might look on my gamer profile and think that I played Bee Movie just for achievements, but really *looks cautiously* I enjoyed that game.
Anyway, what do you think of the Xbox 360's Achievement system? Will you play a game to simply boost your gamer score, are they fun but not all that important to accomplish, or do you even care about them?