Here is the full list of all 15 Orpheus: Fall For Eurydice achievements.
Finish "Greece"
Finish "Styx"
Finish "Cerberus' Lair"
Finish "Elysium"
Finish "Asphodel Meadows"
Finish "Mourning Fields"
Finish "Tartarus"
Die 10 times
Die 100 times
Die 1000 times
Die 10000 times
Bounce 100 times on flowers
Die from a spike after bouncing on a flower