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