Here is the full list of all 16 Asteroids: Recharged achievements.
Kill 1000 asteroids
Kill 20 enemies in rapid succession
Reach 500 points without missing a single shot.
Survive 180 seconds
Reach 6000 points in arcade mode
Reach 4000 points in arcade mode
Reach 2000 points in arcade mode
Reach 1000 points without moving
Complete all challenges in coop mode
Complete all challenges in a single player mode
Detonate 30 bombs with a single shot
Have 50 asteroids in the level at the same time
Kill 1000 UFOs
Kill an enemy with a deflected bullet
Kill 30 enemies with a single mega laser
Resurrect an ally in coop mode