Here is the full list of all 15 Breakout: Recharged achievements.
Bounce the ball 3 times without moving
Survive for 300 seconds
Have 3 balls on screen for 10 seconds
Reach 4000 points in arcade mode
Reach 2000 points in arcade mode
Reach 500 points before the ball hits the platform
Destroy 7 blocks with a single bomb
Destroy all blocks before the next collection of blocks shows up
Reach 6000 points in arcade mode
Destroy 2000 blocks using explosive blocks
Complete all challenges in a single player mode
Destroy 4000 blocks using your bullets
Destroy 10 blocks with a single shot from a railgun
Destroy 6000 blocks
Complete all challenges in coop mode