Here is the full list of all 27 POSTAL achievements. It takes around 25-30 hours to unlock all of the achievements on Windows.
Touch someone while burning.
Complete a level with less than 10 health.
Run for 5 minutes.
Take a rocket to the face.
Perform your first execution.
Commit suicide.
Start the second level.
Make 100 kills.
Make your first kill.
Duck under a rocket.
Make 1000 kills.
Make 10000 kills.
Complete level 10.
Complete the game.
Fire 1,000,000 bullets.
Hit 100,000 targets.
Take 10,000 hits.
Complete the game having killed everything.
Complete the game having only killed hostiles.
Complete the game using only the M16.
Use every weapon in the game.
Fight an ostrich.
Watch all the credits.
Play the Mac or Linux version of the game.
Firebomb the band.
Kill a naked person.
Enable cheats.