Here is the full list of all 25 Fly and Destroy achievements.
Collect 5000 energy
Collect 60 stars
Finish the last level on hard difficulty
Finish the last level on medium difficulty
Finish the game on any difficulty
Upgrade the yellow energy 30 times
Upgrade the blue energy 30 times
Upgrade the red energy 30 times
Upgrade the green energy 30 times
Collect 30 stars
Upgrade the blue energy 20 times
Upgrade the yellow energy 20 times
Collect 1000 energy
Upgrade the green energy 20 times
Upgrade the red energy 20 times
Destroy 200 asteroids
Upgrade the blue energy 10 time
Upgrade the yellow energy 10 times
Collect 10 energy
Collect 10 stars
Collect 100 energy
Destroy 10 asteroids
Destroy 50 asteroids
Upgrade the green energy 10 times
Upgrade the red energy 10 times