Here is the full list of all 27 Squarism achievements.
Solve last level
Solve everything
Destroy your only movable shape
Finish 60 levels
Sacrificed
Finish 50 levels
Opened
Finish 40 levels
Guided
Hivemind
Finish 30 levels
Breached
Spend 20 minutes solving single level
Spend 5 minutes solving single level
Spend 5 wonderful minutes in credits menu
Spend 3 minutes in level selection menu
Use restart 10 times
Finish 20 levels
Sticked
Complete level with that huge 4x4 square
Fail level 3 times
Complete level after 5 restarts
Finish 10 levels
Make wrong shape
Complete tutorial levels
Use restart
Complete first level