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