Here is the full list of all 14 Starship Survivor achievements.
Kill 100 monsters in a single mission.
Kill 10 monsters without changing your position.
Kill 10 monsters in 5 seconds
Receive 1000 dmg in a single mission and stay alive.
Collect 100 crystals in a single mission.
Own 20 crystals.
Spend at least 200 crystals in a single mission.
Complete a mission with only 1 crystal.
Power all rooms in less than 300 seconds.