Here is the full list of all 14 Death Trash achievements.
Defeat a boss on Hard Difficulty during a Permadeath run
Fill all implant slots
Place a grenade in someone’s bag
Enter a Cyberwomb
Visit 20 or more locations
Defeat Glutt
Defeat the Giant Basher
Finish the pilgrimage and help with the missing heart
Have 5 or more characters puke at the same time
Get the eyes for the blind man
Reach level 5
Help Custer collect the core
Get blown to pieces
Welcome to the sun