Asteroids: Recharged

This will more than likely take you a few tries to get (unless you're just really good at Asteroids, of course). As with the other Arcade-related trophies, try not to rush through it and focus on one or two Asteroids at a time so you don't get overwhelmed by the smaller Asteroids. You'll also be going up against hostile UFOs during this, so keep an eye out for them (the small UFOs will begin shooting at you immediately, the large UFOs will start shooting at you when they get about 1/3 of the way into the play area). Shoot all of the power-up UFOs that you come across as these will only help you. It'll take a few minutes to get to 6000 points, but once you reach it, the trophy will unlock.

If you're having trouble getting this solo, you and a local friend can try to get it done in coop mode. The trophy will only unlock for Player 1, though, so keep that in mind if you decide to do this in coop.