Here is the full list of all 32 Thief Town achievements.
Fight in 30 gun showdowns
Name 1296 thieves
Play your first LAN or mobile game
Play 50 full games of pure spy town
Play 50 full games of pure drunk town
Play 25 full games of pure drunk town
Play 1000 rounds
Play 500 rounds
Play 25 full games of pure spy town
Play 50 full games of pure thief town
Play 50 full games of rotation town
Play 25 full games of pure thief town
Play 25 full games of rotation town
Play 100 rounds
Get crushed by a big tumbleweed
Let the timer run out 10 times
Reveal enemy players with motion detector traps 10 times
Win your first gun showdown
Kill three drunk players in a single shot
Kill a player while behind a smoke bomb
Play your first full game of pure spy town
Play your first full game of pure thief town
Play your first full game of pure drunk town
Fall flat on your face
Clash knives with another player 5 times in a row
Behold the power of music
Leaving so soon?
Play your first full game of rotation town
Spend over an hour in the saloon
We knew you'd go there
Stab someone pretending to be dead
Play your first round