Here is the full list of all 39 Cathedral achievements.
Kill Ardur
Find all armor augmentations
Find all ammo upgrades for the Flintlock
Find all map pieces
Destroy the Conduit
Find and activate all portals
Kill Nidlong
Find all hearts
Kill the blood knot
Kill Oloc
Acquire all Ouroboros amulets
Buy the Onyx armor
Return 80 books
Return 60 books
Find all charms
Slay all gargoyles
Kill Thalia
Buy the Tourmaline armor
Return 40 books
Have more than 10 000 gold stored in the bank
Kill Salemacke
Kill the Necromancer
Buy the Emerald armor
Return 20 books
Kill 150 skulls (of any kind)
Kill 100 skulls (of any kind)
Die one hundred times
Kill 50 skulls (of any kind)
Kill 150 blobs (of any kind)
Kill 100 blobs (of any kind)
Kill Augr
Kill 50 blobs (of any kind)
Destroy an electric orb in Necromancer's den using the lantern
Acquire all health bottles
Find all ammo upgrades for the Magnus Apparatus
Return 100 books
Have more than 25 000 gold stored in the bank
Have more than 50 000 gold stored in the bank
Complete the game without upgrading the armor