Here is the full list of all 21 Cubicity achievements.
Obtain all the Achievements in-game
Change 6 cubes into magnetic cube
Get to Egypt
Find the evil scientist portrait
Win level 4, in world 1, without holding any object
Beat level 2, In world 4 unofficially (w)
Get to 10 hp without dying !
Merge 11 objects
Win level without casting magnet
Beat level 11, In world 3, By casting only 1 portal
Let the cubes fly!
Find our logo
Beat level 3, In world 2, by casting only 1 portal
Let seamus get bored
Win level without holding object
Obtain a New Weapon
Stuck in level for 5 minutes
Get stuck on a level
Hold 8 cubes at the same time
Cast magnet 25 times in one level
Launched Cubicity for the first time