Here is the full list of all 39 Inkbound achievements.
Collect the "Magic Threads".
Find the Opal Slab.
Unlock all Trinkets.
Win a Group Run at Group Challenge Rank 10.
Master 50 Vestiges.
Reach level 50.
Win a run with 1,000 or more Kwillings.
Reach level 25.
Die for for the first time.
Unlock a Trinket.
Heal another player.
Reach level 10.
Defeat a Villain for the first time.
Win a group run.
Equip enough Vestiges to fill your inventory.
Fully upgrade a Binding.
Start a group run.
Enter the Atheneum for the first time.
Win a Solo Run at Challenge Rank 10.
Win a Solo Run at Season Challenge Rank 20.
Win a Group Run at Group Season Challenge Rank 20.
Win a run without ever moving in combat.
Complete all objectives in the Victory Board.
Win a run without acquiring any augments.
Win a run without acquiring any vestiges.
Defeat a Villain without defeating any other unit in that fight.
Win a run without taking any damage.
Win a run without drafting any bindings.
Win a run without collecting an Orb.
Complete all Aspect Quests.
Unmask the Unbound.
Free the Captive.
Find the Gatekeeper and OHM.
Reach level 100.
Master 100 Vestiges.
Master all Vestiges.
Defeat the Villain in a Daily Challenge.