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