Here is the full list of all 26 Out of Space achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Win a Weekly Challenge
Activate 100 Rooms with a Battery
Win a match without purchasing any electrical appliances. Ship size: medium or big.
Win a match without cooking any meals, not even once. Ship size: medium or big.
Win a match without resting. Sleeping on the ground is not allowed too! Ship size: medium or big.
Win a match without killing any aliens or throwing them into space. Cleaning their eggs is acceptable! Ship size: medium or big.
Spend over 4000 in the Shop.
Win a match without showering yourself or other players. Ship size: medium or big.
Cook 40 Aliens.
Recycle 250 Items.
Play 8 Matches
Win a match in a Medium Ship.
Win a match in a Large Ship.
Build 50 pieces of furniture.
Play 3 Matches
Play 1 Match Online
Win a match in a Small Ship.
Complete the Tutorial