Here is the full list of all 33 Zimmer achievements.
Reroll your stats 6 times in one run
Kill a rat
Kill a snake
Kill a spider
Kill a red spider
Kill a bat
Kill a red snake
Kill a red slime
Kill a brown slime
Kill a green slime
Kill an imp
Kill a hammer goblin
Kill a skeleton
Kill a floating eye
Kill a purple snake
Kill a boomer
Kill Gerg
Kill Yc'Nan
Kill Rellim
Kill The Minotaur
Sacrifice at an altar
Drink from a fountain
Kill a shopkeeper
Wish for something
Die in a fire
Die from poison
Die from a spike trap
Die from an arrow
Die from lightning
Die from a dart
Die from a freeze
Die from an explosion
Die from food poisoning