Here is the full list of all 54 Ys IX: Monstrum Nox trophies - there are 44 bronze, 7 silver, 2 gold and 1 platinum.
Finish "Balduq Prison" by Adol Christin in its entirety by earning all Trophies.
Complete the map of Balduq.
Attain 100% of all treasure chests.
Attain 100% of all quests.
Attain 100% of all "People" entries in your Journal.
Attain 100% of all "Monsters" entries in your Journal.
Attain 100% of all "Materials" entries in your Journal.
Travel a total distance of 300 krimelye.
Attain 100% of Affinity with all characters.
Attain 100% of Ritual Relics enhanced.
Attain 100% of Azure Petals found.
Attain 100% of graffiti discovered.
Attain 100% of landmarks discovered.
Attain 100% of shops discovered.
Have obtained a total of 2,000 NOX points.
Have 1,000,000 Gold in possession.
Unlock all 13 recipes at the Dandelion.
Reach max level with all skills.
Forge an Ultimate Armor.
Forge Ultimate Weapons for all Monstrums (6 in total).
Reach level 99 with any character.
Defeat 2,000 monsters.
Defeat 1,000 Lemures.
Inflict Break 1,000 times.
Use Flash Guard 100 times.
Use Flash Move 100 times.
Use Boost Mode 100 times.
Use Extra Skills 100 times.
Achieve an S in a Grimwald Nox.
Clear all Grimwald Nox.
Achieve an S on all Grimwald Nox.
Explore Balduq with the Crimson King as leader.
Explore Balduq with the White Cat as leader.
Explore Balduq with the Hawk as leader.
Explore Balduq with the Doll as leader.
Explore Balduq with the Raging Bull as leader.
Explore Balduq with the Renegade as leader.
In Time Attack, defeat the boss in 30 seconds or less.
In Time Attack, defeat the boss without taking damage.
Complete Boss Rush.
Complete Boss Rush without retrying.
Clear the game on Nightmare difficulty or above.
Defeat the ultimate Lemures, Vakh Medios (excludes Time Attack).
Begin your escape from the prison.
Clear the prologue.
Clear Chapter 1.
Clear Chapter 2.
Clear Chapter 3.
Clear Chapter 4.
Clear Chapter 5.
Clear Chapter 6.
Clear Chapter 7.
Clear Chapter 8.
Clear the Final Chapter.