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