Here is the full list of all 63 Soul Axiom achievements.
Find the Play Power
Find the first Monkey
Complete the Monorail
Complete the Elysian Fields
Complete the Desert Temple
Phase the Ball in the Desert Temple
Find the Phase Power
Complete the Desert
Complete the Ship
Find the first Eye
Complete the Jungle
Complete the Warzone
Complete the Beach
Complete the Museum
Complete the Hospital
Complete the Ice Palace
Complete the University
Complete the Mansion
Complete the Space Station
Complete the Winter HQ
Complete the Apartment
Complete the Forest
Complete the Tree of Life
Complete the Corrupt Winter HQ with no deaths
Complete the HUB
Complete the Waiting Room
Complete the Office with any Character
Complete the Volcano
Complete the Corrupt Jungle
Complete the Corrupt Warzone
Complete the Corrupt Beach
Complete the Corrupt Museum
Complete the Corrupt Hospital
Complete the Corrupt Ice Palace
Complete the Corrupt University
Complete the Corrupt Mansion
Complete the Corrupt Space Station
Complete the Corrupt Winter HQ
Complete the Corrupt Apartment
Visit the Prehistoric Era
Find the "kids" Owl picture in the Hospital
It's your last chance to understand
Complete all three endings
Find the Blue Duck
Complete the Clock Puzzle without dying in Ice Palace
Find half the Monkeys
Find all the Monkeys
Find half the Eyes
Find all the Eyes
Find the Destroy Power
Find the Corrupt Power
Beat the Crows without dying on Corrupt Mansion
Complete the Puzzle on the Monorail
Destroy the Right Monkey in the Jungle
Trigger the Shark attack on the Beach
Trigger the Shark attack in the Museum
Complete the Church
Complete the Corrupt Church