Here is the full list of all 46 Kingdom Hearts Birth by Sleep FINAL MIX trophies - there are 32 bronze, 11 silver, 2 gold and 1 platinum.
Obtain all trophies.
Complete Reports with Ventus.
Complete Reports with Terra.
Defeat the Unknown.
Complete Reports with Aqua.
Defeat the Vanitas Remnant.
Clear game on Critical.
Complete the secret episode.
Complete the final episode.
Defeat No Heart.
Learn all of Aqua's Finish Commands.
Defeat Armor of Eraqus.
Complete all four-star missions in the Mirage Arena.
Clear Aqua's story mode.
Collect all Secret Reports.
Collect all stickers.
Clear the Destiny Islands episode of Aqua's story.
Complete all one-star missions in the Mirage Arena.
Unleash Break Time with Aqua.
Clear the Radiant Garden episode of Aqua's story.
Use the Rhythm Mixer Command Style 20 times.
Clear Ventus's story mode.
Learn all of Ventus's Finish Commands.
Use the Pete D-Link 10 times.
Unleash Break Time with Ventus.
Clear the Mysterious Tower episode of Ventus's story.
Clear the Disney Town episode of Ventus's story.
Clear the Badlands episode of Ventus's story.
Win the Villains' Vendetta battle in the Mirage Arena.
Learn all of Terra's Finish Commands.
Beat all opponents in Fruitball.
Win the Keepers of the Arena battle in the Mirage Arena.
Complete all Unversed battle missions with the highest rank.
Create all flavors of ice cream.
Unleash Break Time with Terra.
Complete all three-star missions in the Mirage Arena.
Obtain a Fantastic rating for each song in Ice Cream Beat Master Mode.
Finish first in all Rumble Racing courses.
Use Shotlock 50 times.
Clear Terra's story mode.
Complete all two-star missions in the Mirage Arena.
Win each playable Command Board.
Clear the Destiny Islands episode of Terra's story.
Clear the Disney Town episode of Terra's story.
Clear the Mysterious Tower episode of Terra's story.
Clear the prologue, "The Land of Departure."