Here is the full list of all 40 One Piece: Pirate Warriors 3 trophies - there are 23 bronze, 13 silver, 3 gold and 1 platinum.
Acquire all trophies.
Complete the entire Gallery.
Increase 20 or more character's Crew LEVEL to MAX.
Achieve 100% Legend Points in all episodes.
Complete the "Final Island" in the Dream Log.
Break through one Character's growth limit.
Unlock all Characters.
Complete the Dream Log.
Obtain 100 or more types of Coins.
Obtain 20 or more Skills.
Complete the Final Chapter of the Legend Log.
Use Hero Power at least 100 times.
Defeat over 100,000 enemies.
Complete the Fourth Chapter of the Legend Log.
Complete 15 or more islands in the Dream Log.
Defeat over 10,000 enemies using Special Attacks.
Achieve 100% Legend Points in a single episode.
Defeat over 10,000 enemies using Kizuna Attacks.
Complete the Third Chapter of the Legend Log.
Obtain 50 or more types of Coins.
Complete five or more islands in the Dream Log.
Complete 25% or more of the Gallery.
Increase one character's Crew LEVEL to MAX.
Complete the Second Chapter of the Legend Log.
Get an S-Rank Results Evaluation for a single episode.
Obtain 20 or more Skill Posters.
Unleash a Special Bond Attack with four Crewmates.
Complete the First Chapter of the Legend Log.
Use Kizuna Attacks of 3 different Crew mates in 1 battle.
Change Crew members for the first time.
Obtain one Skill.
Defeat 300 enemies using a single Kizuna Rush.
Unleash your first Hero Power.
Obtain one Coin.
Obtain one Skill Poster.
Complete the Legend Log Prologue.
Unleash your first Kizuna Rush.
Unleash 20 or more Kizuna Attacks in a single battle.
Defeat 1,000 enemies in a single battle.
Unleash your first Kizuna Attack.