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.
Finish all levels on easy difficulty.
Kill Emperor.
Add your own music.
Kill Eldon.
Spend 50 ability upgrade points.
Spend 100 player upgrade points.
Destroy 100 enemy waves.
Kill Xila.
Unlock all bonuses on single ship.
Use laser 250 times.
Destroy 1000 enemy ships.
Kill Narder.
Spend 50 player upgrade points.
Use homing missiles 100 times.
Destroy 50 enemy waves.
Destroy 500 enemy ships.
Use laser 100 times.
Use homing missiles 50 times.
Finish level 1 on hard difficulty.
Play enemy mode.
Play fortress mode.
Play asteroid mode.
Kill Hazzard.
Spend 20 ability upgrade points.
Unlock bonus on single ship.
Use laser 50 times.
Use homing missiles 20 times.
Use laser 20 times.
Destroy 10 enemy waves.
Destroy 100 enemy ships.
Finish level 1 on medium difficulty.
Destroy 50 enemy ships.
Spend player upgrade point.
Spend ability upgrade point.
Finish level 1 on easy difficulty.
Destroy 10 enemy ships.
Finish all level on medium difficulty.
Finish all levels on hard difficulty.
Destroy 500 enemy waves.
Destroy 5000 enemy ships.
Unlock bonuses on all ships.
Spend 250 player upgrade points.