Here is the full list of all 38 Wantless : Solace at World's End achievements.
Transpose Maurel and destroy Abandon
Transpose the Old addict and destroy Deception
Successfully transpose Kerig into Wantlessness
Transpose Leo and destroy Anathema
Explore in Depth 3
Transpose Beorg and destroy the Inconceivable
Transpose Beorg and destroy the Inconceivable...with his neural activity enhanced to 3
Transpose Stella and destroy the Forsaken space golem
Transpose while equipping a skill with a discipline cost above 9000
Clear a transposition without taking damage
Successfully transpose Sicar into Wantlessness
Destroy a Tier III+ boss in a single hit
Create a Legendary Synapse through Fusion
Forge a skill with 3 or more effects
Reach day 100
Sucessfully transpose a patient with neural activity enhanced to 10 or more
Explore in Depth 2
Reset your mind tree
Equip as many skills as you can
Win an enhanced Tier 4 transposition while at Instability 5
Sublime a Unique item with a Legendary piece of equipment
Have 5 equipment slots filled with Legendary items
Exhaust Innar's stock
Destroy a Legendary enemy in Depth 3
Destroy 8 enemies in 1 turn
Successfully Transpose a patient with your summons dealing all the damage