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