Here is the full list of all 25 Anarcute achievements.
Buy all the abilities
Make Anarland free
Destroy the monkey's sandcastle
Find out who has been the true bad guy from the beginning
Unlock all the heads
Make Reykjavik free
Unlock the Butterfly
Blow up the Moon
Eject 7 enemies with a single laser shot
Eject 5 enemies with mines
Make Miami free
Eject 1000 enemies
Finish a level with only 1 rioter standing
Wake up 1000 rioters
Play with only one kind of animal
Make a prop ricochet 9 times
Make Paris free
Make a helicopter crash before it has time to deploy any reinforcements
Make Tokyo free
Finish the first level
Unlock a new outfit
Get a game over by freezing
Finish all levels with a S rating
Make 50 enemies fall in love with the rioters
Put it through the hoop in Miami