Here is the full list of all 29 Post Soviet Zombies achievements.
Start game with any selected character
Find your uncle
Find crowbar
Find vodka
Treat a stranger with vodka and he will help you.
Kill the stranger man and take the pliers
Go outside
Down into the sewer
Find the train
Find the valve
Take a walk around the city at night
Enter the hospital
Help the military in the hospital
Escape from the infected city
Complete the level without taking damage
Ignite 100 zombies
Kill 5 civilians playing as a policeman
Die by shot
Upgrade your weapon to the maximum
Die 50 times
Kill 50 zombies with melee weapons
Kill a hundred zombies
Kill a thousand zombies
Kill five thousand zombies
Complete game for all characters
Kill nine thousand zombies
Complete the game on easy difficulty
Complete the game on medium difficulty
Complete the game on hard difficulty