Here is the full list of all 37 One Piece: Pirate Warriors trophies - there are 20 bronze, 13 silver, 3 gold and 1 platinum.
All Trophies acquired!
Activated all skills.
Defeated a total of more than 100,000 enemies.
Completed the Jimbei story in Another Log.
Defeated 1000 enemies in a single Episode for the first time!
Completed the Hancock story in Another Log.
Completed Marineford just as it happened in the original story.
Completed the Ace story in Another Log.
Collected all the coins featuring members of the Navy.
Completed the Whitebeard story in Another Log.
Completed the Sanji story in Another Log.
Completed the Usopp story in Another Log.
Completed the Nami story in Another Log.
Collected all the coins featuring powerful enemies.
Cleared the Main Log.
Successfully performed an event attack on Akainu.
Successfully performed an event attack on Aokiji.
Completed the Franky story in Another Log.
Completed the Brook story in Another Log.
Completed the Robin story in Another Log.
Collected all the coins featuring the Straw Hat Pirates.
Successfully performed an event attack on Lucci.
Completed the Zoro story in Another Log.
Completed the Chopper story in Another Log.
Successfully performed an event attack on Bruno.
Successfully performed an event attack on Crocodile.
Fell into the water or off platforms 10 times.
Successfully performed an event attack on Arlong.
Retried an Episode.
Activated your first skill.
Successfully performed an event attack on Don Krieg.
Successfully performed an event attack on Buggy.
Performed your first Crew Strike.
Cleared the first stage.
Stunned an enemy for the first time by attacking their weak point.
Successfully performed an event attack on a Pacifista.
Successfully completed your first action with Luffy.