Here is the full list of all 42 Dragon Ball: The Breakers trophies - there are 28 bronze, 9 silver, 4 gold and 1 platinum.
Obtain all trophies.
Complete the prologue.
Change your costume.
Train any skill up to +20.
Power any raider skill up to +20.
Buy something in the shop.
Obtain a transphere from a Spirit Siphon.
Reach survivor level 30.
Reach raider level 30.
Finish 50 matches as a survivor.
Finish 50 matches as a raider.
Find two super time machine power keys in one match.
Place two super time machine power keys in one match.
Successfully start up the super time machine.
Successfully start up the super time machine with all survivors having survived.
Destroy the super time machine startup system.
Destroy the time machine.
Rescue five civilians in one match.
Finish off five civilians in one match.
Finish off four survivors in one match.
Finish off all survivors and win the game.
Finish off a survivor with a special finisher.
Escape in the time machine with three or more allies.
Escape the raider's pursuit and survive three times in one match.
Defeat a raider with an attack during an Ultimate Dragon Change.
Gather Change Power and reach Dragon Change Lv. 3.
Reach Lv. 4 as a raider.
Prevent a raider from finishing off an ally.
Land a vanish move against an opponent using a Super Attack.
Use an active skill as a survivor.
Attack a raider whose lvl is higher than your DC lvl while they are destroying the startup system.
Without using Dragon Change, attack a raider trying to destroy the time machine startup system.
Revive three downed allies in one match.
Destroy an area and down two survivors.
Send an emote.
Send a signal to an ally letting them know where an item is.
Respond to an ally's signal.
Send a stamp.
Use a line as a raider.
Open five red item boxes in one match.
Make a purchase at a vending machine six times in one match.
Have Shenron grant your wish.