Here is the full list of all 37 Star Ocean First Departure R trophies - there are 26 bronze, 5 silver, 5 gold and 1 platinum.
Collect all trophies.
Defeat Resphina in the Cave of the Seven Stars.
Complete Puffy's game.
Unlock all characters in the Voice Gallery.
Access the Labyrinth of Champions from the Oracle Room and enter the sealed door.
Defeat Jie Revorse in Revorse Tower.
Receive a gift from friends three centuries in the past.
Defeat the Ancient Guardian in the Old Race Ruins.
Emerge victorious from the rank A battles in the Arena.
Learn the SFTs for all combat skills.
Meet Ronyx and Ilia.
Visit the crash site.
Help Foster at Mt. Eckdart.
Defeat the Peryton in the Labyrinth of Champions.
Defeat the Succubus in the Treasury.
Defeat the Jabberwabbit in the Abandoned Mine.
Collect all Emblems.
Discover the truth hidden within the deepest chamber of the Purgatorium.
Defeat Del Argosy in the Demon World.
Defeat Asmodeus in the Space-Time Laboratory.
View the ending in which Ronyx and Ilia become a couple.
Awaken any character's talent.
Purchase the Tri-emblem.
Unlock all movies in the Movie Gallery.
Obtain the Bunny Whistle.
Learn all Special Arts.
Purchase all skill sets.