Here is the full list of all 22 Damnation City of Death achievements.
Get your first kill
Kill 1000 zombies
Kill 100 boars
Kill 50 players
Kill 5000 zombies
Complete Intro
Get 50 000 XP
Kill 100 zombies
Kill 10 Tyrants
Kill 5 zombies in 10 seconds
Heal yourself after taking 3 wounds
Survive your first night
Survive 5 nights in a row
Craft an oven
Craft a beacon
Craft a generator
Craft a large medkit
Craft a campfire
Cook meat