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
Get 20 points of criminality
Get 20 points of the law
Burn the bar down
Take a dive in the boxing ring
Take a bribe
Create panic at the snack bar
Find an automotive warehouse
Call an ambulance
Create 150 elements
Create 10 elements
Create 15 groups of elements
Create 50 game reactions
Create Don Vito