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 Universe difficulty.
Beat the game on Chaos difficulty.
Unlock all item creation recipes.
Ascend to level 255.
Encounter every enemy.
Catalogue every item.
Obtain all battle skills and signeturgical spells.
Start a second playthrough.
Obtain the vast majority of the roles.
Defeat Ethereal Queen.
Make a riposte.
Create the most valuable mechanical item.
Create the most valuable sorcerous item.
Create the most valuable naturally-occurring item.
Create the most precious metal.
Complete all quests.
Create an item that you shouldn't.
Defeat Gabriel Celeste.
View Fiore's ending.
Create the most valuable medicinal item.
View Emmerson's ending.
View Victor's ending.
View Anne's ending.
Create the most valuable edible item.
Obtain half of the battle trophies.
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.
Encounter half of all enemies.
Defeat Der-Suul in the Slaughtery.
Catalogue half of all items.
Defeat Pavine in the Eihied Mountains.
Use an emote during a cutscene.
Flee from a battle.
Eradicate Eitalon.
Activate a reserve rush.
Create an item.