Here is the full list of all 42 Survive in Space achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Play asteroid mode.
Destroy 50 enemy ships.
Spend player upgrade point.
Spend ability upgrade point.
Finish level 1 on medium difficulty.
Destroy 10 enemy ships.
Add your own music.
Finish level 1 on easy difficulty.
Finish level 1 on hard difficulty.
Play enemy mode.
Play fortress mode.
Finish all levels on easy difficulty.
Finish all level on medium difficulty.
Finish all levels on hard difficulty.
Destroy 10 enemy waves.
Destroy 50 enemy waves.
Destroy 100 enemy waves.
Destroy 500 enemy waves.
Destroy 100 enemy ships.
Destroy 500 enemy ships.
Destroy 1000 enemy ships.
Destroy 5000 enemy ships.
Kill Hazzard.
Kill Narder.
Kill Xila.
Kill Eldon.
Kill Emperor.
Unlock bonus on single ship.
Unlock all bonuses on single ship.
Unlock bonuses on all ships.
Spend 20 ability upgrade points.
Spend 50 ability upgrade points.
Spend 50 player upgrade points.
Spend 100 player upgrade points.
Spend 250 player upgrade points.
Use laser 20 times.
Use laser 50 times.
Use laser 100 times.
Use laser 250 times.
Use homing missiles 20 times.
Use homing missiles 50 times.
Use homing missiles 100 times.