Here is the full list of all 21 Drunk or Dead achievements.
Drink yourself to death
Try all kinds of alcohol in the first bar scene
Kill 500 zombies
Kill 35 bosses
Alternate a shot of alcohol and headshot three times in a row
Kill 20 "french" zombies in a row.
Kill 5 bosses
You kept your drunk-o-meter between 2 and 6 for 4 minutes
Make three headshots in a row
Reload for the first time
Kill 20 zombies
You've played the piano
Simultaneously kill three zombies with a shotgun
Drink 1000+ litres of alcohol
Kill 5000 zombies
Kill 200 bosses
You've played the guitar
You've harrassed the bartender
Kill five zombies in a row while drunk over 6
The Dancer Girl in Kinky Butts survives.
The Dancer Girl in Kinky Butts dies.