Here is the full list of all 43 ScourgeBringer trophies - there are 31 bronze, 8 silver, 3 gold and 1 platinum.
You obtained all trophies
Find all logs of Garo's expedition
Find all logs of the lost ones
Fully unlock all branches of the skill tree
Fully unlock six branches of the skill tree
Fully unlock five branches of the skill tree
Read all the steles
Fully unlock four branches of the skill tree
Beat the Ordeal with all rooms of every Realm explored
Break the cycle of Chaos
Beat the Ordeal with a score of at least 3 Chaos
Beat the Ordeal with a score of at least 5 Chaos
Become the new Pilot
Beat the Judge of The Beyond
Beat the one who is consumed by Chaos
Beat the Ordeal without any health bonus (nor item, nor blessing)
Beat the Ordeal without picking any Blessing
Find all logs of military missions
Complete a Realm without getting hit
Beat a Judge without getting hit
Build a x3 combo with the Ultra Combo Altar
Fully unlock three branches of the skill tree
Accept Kriterion's Judgment
Beat the Judge of The Old World
Successfully finish your first challenge room
Beat the Judge of The Living Walls
Beat a Judge of The Wasted Pit
Beat a Judge of The Still Bastion
Get all items from Greed
Build a x2 combo
Fully unlock two branches of the skill tree
Max out your HP to 20
Beat a Judge of The Entangled Ingress
Stun an enemy by throwing another enemy on it with the Smash
Beat an enemy by throwing back a bullet at it with the Smash
Find the NEXUS computer
Fully unlock a branch of the skill tree
Find a secret room
Fully explore a Realm
Clear a room with at least 3 enemies in it without touching the ground
Make the world cucumber-free
Pick your first Gift of Blood
Clear your first fight