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