Here is the full list of all 41 STAR OCEAN: Integrity and Faithlessness trophies - there are 22 bronze, 16 silver, 2 gold and 1 platinum.
Obtain all trophies.
Obtain all battle trophies.
Beat the game on Chaos difficulty.
Beat the game on Universe difficulty.
Start a second playthrough.
Unlock all item creation recipes.
Encounter every enemy.
Catalogue every item.
Ascend to level 255.
Obtain the vast majority of the roles.
Defeat Ethereal Queen.
Defeat Gabriel Celeste.
Create the most valuable medicinal item.
Create the most valuable mechanical item.
Create the most valuable sorcerous item.
Create the most valuable naturally-occurring item.
Create the most precious metal.
Obtain all battle skills and signeturgical spells.
Complete all quests.
Create an item that you shouldn't.
Create the most valuable edible item.
View Emmerson's ending.
View Victor's ending.
View Fiore's ending.
View Anne's ending.
View Relia's ending.
View Miki's ending.
Defeat General Alma in the throne room.
Defeat Thoras in the parallel dimension.
Complete half of all quests.
Defeat Der-Suul in the Slaughtery.
Encounter half of all enemies.
Obtain half of the battle trophies.
Catalogue half of all items.
Flee from a battle.
Defeat Pavine in the Eihied Mountains.
Use an emote during a cutscene.
Eradicate Eitalon.
Activate a reserve rush.
Create an item.
Make a riposte.