Here is the full list of all 32 Asteroid Bounty Hunter achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Destroy 100 asteroids.
Reach player level 2.
Clear level 1 on easy difficulty.
Destroy bounty hunter.
Destroy 10 asteroids.
Add your own music in game
Spend global upgrade point in shipyard.
Destroy 1000 asteroids.
Destroy 10000 asteroids.
Kill DebrisLord, yeah, our first big fish.
Kill Nix, I've slept with his wife as well.
Kill Vega, who's this guy again?
Kill Lynda, never liked her anyways, so boring.
Kill Jack, brotherly love.
Reach player level 10.
Reach player level 50.
Reach player level 100.
Reach player level 500.
Destroy 10 bounty hunters.
Destroy 50 bounty hunters.
Destroy 100 bounty hunters.
Destroy 500 bounty hunters.
Destroy 1000 bounty hunters.
Clear level 1 on medium difficulty.
Clear level 1 on hard difficulty.
Spend over 50 upgrade points.
Unlock new ship.
Unlock all ships in shipyard.
Use Photon swarm 50 times.
Use Death ray 50 times.
Use Final blast 30 times.