Item description:

Adjuster of the Undead
Beat campaign on New Game+ mode

Code:
Beat the last mission, should be powerful enough to tackle the last mission
Confirmed other trophies that popped

Trainer's Apprentice -Reach experience level 10
Muscle Machine - Reach experience level 20
Experienced Mentor - Reach experience level 40
Actuary of Valor - Complete Chapter 12: The Nether Realm

Code:
should be popped after clear any mission
Ultimate Wizard - Upgrade all hero spells to Rank 2

Code:
talk to racoon guy in the ship, and upgrade the last skill

Nothing else popped after those, even the kill or complete chapter 1-11 trophy