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.
Perish in the Ruins of Tartaros
Reach Tartaros
Survive Charon's Isle
Survive Charon's Trireme
Defeat the Karkinos
Survive the Maelstrom of Charybdis
Survive the Run through the Maelstrom of Charybdis
Survive the Thalassian Fissure
Recover the Pearls and Raise the Statue
Defeat Kakos the Fire Sentinel
Kill 50 Cyclopes
Kill 1000 Athanatoi
Bank 50,000 Danake
Bank 100,000 Danake
Reconstruct and Reanimate Talos
Kill 100 Kourai
Survive the Arena in The Trajan Palace
Survive the Foundry of Hephaestus
Work the Crucible and Place the Statue
Ransack the the Trajan Palace
Defeat Python
Rebuild and Survive the Lodestone
Release the Tormented from Their Cages
Survive the Trajan Palace
Drain the Sewer in the Trajan Palace
Defeat Deimos and Phobos
Survive Ophion's Labyrinth
Kill 500 Athanatoi
Rebuild the Shattered Bridge
Kill 50 Ophidians
Kill 50 Fury
Detonate with the Detonation Crown
Defeat the Kathorao
Bank 10,000 Danake
Charge the Sarcophagus
Bank 5000 Danake
Kick 1 Athanatos and Dispatch with a Headshot
Survive the Euxine Gorge
Rebuild and Fire the Ballista
Kick 1 Athanatos off a Ledge
Slay the Minotauroi
Defeat the Orphic Champion
Purchase Your First Weapon
Bank 1000 Danake
Survive the Temple of the Nekromanteion
Raze the Temple to the Ground
Kill 1 Athanatos with a Dagger
Light the Four Braziers in the Orphic Temple
Fail a Journey to Elysium
Survive the Orphic Temple
Survive the Orphic Temple Arena
Escort the Procession and Complete the Ritual
Complete the Apollo Rite
Complete the Dionysus Rite
Complete the Persephone Rite
Defeat the Kathorao 10 Times
Kill 100 Kavouraki
Reach Elysium
Unlock All Items
Purchase Every Item in the Shop
Find all the Orphic Fragments
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