Here is the full list of all 67 PERISH achievements.
The base game contains 63 achievements, and there is 1 DLC pack containing 4 achievements.
Find all the Orphic Fragments
Recover the Pearls and Raise the Statue
Drain the Sewer in the Trajan Palace
Kill 500 Athanatoi
Bank 50,000 Danake
Complete the Apollo Rite
Survive Charon's Isle
Reach Tartaros
Perish in the Ruins of Tartaros
Survive Charon's Trireme
Survive the Maelstrom of Charybdis
Defeat the Karkinos
Survive the Run through the Maelstrom of Charybdis
Survive the Thalassian Fissure
Kill 50 Fury
Escort the Procession and Complete the Ritual
Work the Crucible and Place the Statue
Bank 10,000 Danake
Bank 5000 Danake
Kick 1 Athanatos off a Ledge
Bank 1000 Danake
Fail a Journey to Elysium
Defeat Kakos the Fire Sentinel
Survive the Foundry of Hephaestus
Reconstruct and Reanimate Talos
Survive the Arena in The Trajan Palace
Rebuild the Shattered Bridge
Kill 50 Ophidians
Rebuild and Fire the Ballista
Release the Tormented from Their Cages
Defeat the Orphic Champion
Survive the Trajan Palace
Ransack the the Trajan Palace
Defeat Deimos and Phobos
Survive Ophion's Labyrinth
Defeat Python
Defeat the Kathorao
Charge the Sarcophagus
Raze the Temple to the Ground
Kick 1 Athanatos and Dispatch with a Headshot
Survive the Orphic Temple Arena
Purchase Your First Weapon
Survive the Euxine Gorge
Rebuild and Survive the Lodestone
Survive the Temple of the Nekromanteion
Slay the Minotauroi
Survive the Orphic Temple
Kill 1 Athanatos with a Dagger
Light the Four Braziers in the Orphic Temple
Complete the Dionysus Rite
Complete the Persephone Rite
Kill 1000 Athanatoi
Kill 100 Kourai
Kill 50 Cyclopes
Defeat the Kathorao 10 Times
Kill 100 Kavouraki
Bank 100,000 Danake
Detonate with the Detonation Crown
Reach Elysium
Unlock All Items
Purchase Every Item in the Shop
Complete the Codex
Earn your Place in the Elysian Fields
Act I: Liberated the prisoners in the Zephyrean realm
Act II: Thawed and defeated the frozen nemesis Aquilo
Act III: Escaped the vast jaws of the Skolex
Act IV: Defeated Vulturus with the Aegis shield