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