Here is the full list of all 16 Spheroids achievements.
Finish all levels in chapter 1
Destroy 100 Spheroids
Purchase at least 1 item in the store
Finish all levels in chapter 2
Finish all levels in chapter 3
Finish all levels in chapter 4
Finish all levels in chapter 5
Finish all levels in chapter 6
Finish all levels in chapter 7
Finish all levels in chapter 8
Destroy 500 Spheroids
Destroy 2500 Spheroids
Collect 500 coins
Collect 1000 coins
Acquire 25 power-ups of type StopTime
Acquire 25 power-ups of type Dynamite