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