Here is the full list of all 19 Deformity achievements.
Complete the 1st mission.
Complete the 2nd mission.
Complete the 3rd mission.
Complete the 4th mission.
Complete the 5th mission.
Complete the 6th mission.
Complete the 7th mission.
Complete the 8th mission.
Complete the 9th mission.
Win the game as an elf on a random map.
Win the game as a human on a random map.
Win the game as a dwarf on a random map.
Research ten technologies of third tier on a random map.
Win the game on a random map without gifts.
Colonize 6 sectors on a random map.
Colonize 8 sectors on a random map.
Create a hero on a random map.
Build the defence turret on a random map.
Increase the total resource income to 500 on a random map.