Here is the full list of all 16 DOOMED achievements.
Complete Level 18
Kill more than 500 enemies
Complete Level 14
Find a secret zone in level 3
Find a secret zone in level 11
Complete Level 10
Find a secret zone in level 9
Find a secret zone in level 8
Complete Level 6
Find a secret zone in level 5
Kill more than 100 enemies
Find a secret zone in level 2
Complete Level 1