Here is the full list of all 40 ONE PIECE: PIRATE WARRIORS 4 trophies - there are 23 bronze, 13 silver, 3 gold and 1 platinum.
All trophies acquired
Collected 100 million or more berries in total
Cleared the Deciding Battle Episode from the Treasure Log “New World”
Toppled a total of 100,000 foes
Cleared Dramatic Log “Land of Wano Arc (game original)”
Cleared Dramatic Log “Whole Cake Island Arc”
Cleared Dramatic Log “Entry to the New World Arc”
Unlocked at least 75% of the Gallery
Collected 30 or more playable characters
Cleared Dramatic Log “Summit War Arc”
20 or more characters’ Crew Levels have MAXED out
Acquired all the islands from "The Beginning Map"
Cleared Dramatic Log “Enies Lobby Arc”
One character's special moves have all MAXED out
Acquired 20 or more skills
Promoted to Treasure Log “Grand Line”
Toppled 10,000 enemies during a Full-Force Burst
You used Power Dash 1000 times or more in total
Collected 10 or more playable characters
One character's Action Growth Level has MAXED out
One character's Crew Level has MAXED out
Cleared Dramatic Log “Alabasta Arc”
Total Stage Objects Destroyed has exceeded 1000
Collected 50 types of coin or more
You won a battle with a Sky type character for the first time
Unlocked at least 25% of the Gallery
You stayed airborne for at least 10 seconds
You won a battle with a Technique type character for the first time
Cleared at least 1 “East Blue” battle from the Treasure Log
One of your skill levels has MAXED out
You won a battle with a Speed type character for the first time
Acquired 1 or more skills
Achieved Battle Grade S in any episode
You won a battle with a Power type character for the first time
Cleared Dramatic Log “Introduction”
You defeated your first enemy while in Form Change.
You defeated 1000 or more enemies in a single battle
You defeated your first enemy using Full-Force Burst
You used a special skill at least 10 times in one battle
You used a special skill for the first time