Here is the full list of all 28 Songs of Armageddopolis achievements.
Trial 2 completed
Finished the Last Chapter
Finished the Fifth Chapter
Smoke 10 times
Finished the Fourth Chapter
Visit the Tower 3 times
Finished the Third Chapter
First time in the Tower
Choose the right card
That was quick, right?
Finished the First Chapter
Trial 1 completed
Trial 1 completed perfectly
Trial 2 completed perfectly
Trial 3 completed
Trial 3 completed perfectly
Trial 4 completed
Trial 4 completed perfectly
Trial 5 completed
Trial 5 completed perfectly
Win the match against Berghovski flawlessly
Use your powers to score
Drink a lot of coffee
Complete the game
You can't play anymore
Tower is your second home