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