Here is the full list of all 14 Doodle Mafia achievements. It takes around 2-3 hours to unlock all of the achievements on Windows.
Build Alcatraz
Create panic at the snack bar
Find an automotive warehouse
Get 20 points of the law
Take a bribe
Create 150 elements
Burn the bar down
Call an ambulance
Get 20 points of criminality
Take a dive in the boxing ring
Create 10 elements
Create 15 groups of elements
Create 50 game reactions
Create Don Vito