Here is the full list of all 24 Asteroid Hunter achievements.
Destroyed 250 Large Rocks
Obliterated 500 Small Rocks!
Travel 1000 space miles
Imploded 100 Tiny Vessels
Murdered 25 Thiefs
Collected 1000 Ore
Fire 10000 Bullets
Made 50 Attempts
Died 100 Times
Saved by Orbs 50 Times
Unlock All Ship Upgrades At Least Once
Warp 50 Times
Destroyed a Massive Ship
Annihilated An Anomaly
Unlocked Ship 1
Unlocked Ship 2
Unlocked Ship 3
Reach Level Ten 10 Times
Reach Level Fifteen 5 Times
Reach Level 20
Blow Up 100 Enemies With Missiles
Decimate 25 Suicide Ships
Saved By Shield 50 Times
Achived a score greater than 100000