Here is the full list of all 27 The Entropy Centre achievements. It takes around 8-10 hours to unlock all of the achievements on Windows.
Complete the game's campaign
Complete Act 15
Complete Act 16
Complete Act 14
Complete Act 13
Find Astra
Complete Act 12
Complete Act 11
Complete Act 10
Complete Act 9
Complete Act 8
Complete Act 7
Leave The Entropy Museum with all walls repaired
Find Astra a hat
Launch an entropy bot into another one
Pet 'E'
Complete Act 6
Complete Act 5
Complete Act 4
Complete Act 3
Complete Act 2
Complete Act 1
Rewind 3 items in the play area
Destroy 3 bots with one explosive cube
Relax at the beach with a drink
Read all terminal messages
Visit all exhibits in The Entropy Museum