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