Full list of all 21 Drunken Fist achievements worth 1,000 gamerscore. It takes around 0.5-1 hour to unlock all of the achievements on Xbox One.
Let 20 opponents slip
Complete level 3
Mess with the police officer
Complete level 2
Eat 12 burgers
Let 10 opponents slip
Collect 11 bottles
Beat 52 enemies
Eat 6 burgers
Collect 5 bottles
Beat 24 enemies
Fall without external influence
Beat 3 opponents within 12 seconds
Use 24 special attacks
Complete level 1
Use 12 special attacks
Beat 6 enemies
Eat 1 burger
Let 1 opponent slip
Collect 1 bottle
Use 3 special attacks