Here is the full list of all 40 One Piece Pirate Warriors 3 achievements. It takes around 100-120 hours to unlock all of the achievements on Windows.
Complete the Third Chapter of the Legend Log.
Defeat over 100,000 enemies.
Increase one character's Crew LEVEL to MAX.
Complete 15 or more islands in the Dream Log.
Unleash a Special Bond Attack with four Crewmates.
Defeat over 10,000 enemies using Special Attacks.
Complete five or more islands in the Dream Log.
Defeat over 10,000 enemies using Kizuna Attacks.
Defeat 300 enemies using a single Kizuna Rush.
Obtain 50 or more types of Coins.
Complete the Second Chapter of the Legend Log.
Complete 25% or more of the Gallery.
Obtain 20 or more Skill Posters.
Use Kizuna Attacks of 3 different Crew mates in 1 battle.
Complete the First Chapter of the Legend Log.
Achieve 100% Legend Points in a single episode.
Get an S-Rank Results Evaluation for a single episode.
Change Crew members for the first time.
Obtain one Skill.
Unleash your first Hero Power.
Unleash your first Kizuna Rush.
Obtain one Coin.
Obtain one Skill Poster.
Complete the Legend Log Prologue.
Unleash 20 or more Kizuna Attacks in a single battle.
Unleash your first Kizuna Attack.
Defeat 1,000 enemies in a single battle.
Obtained all achievements.
Complete the Fourth Chapter of the Legend Log.
Complete the Final Chapter of the Legend Log.
Complete the Dream Log.
Complete the "Final Island" in the Dream Log.
Achieve 100% Legend Points in all episodes.
Complete the entire Gallery.
Increase 20 or more character's Crew LEVEL to MAX.
Obtain 20 or more Skills.
Obtain 100 or more types of Coins.
Break through one Character's growth limit.
Unlock all Characters.
Use Hero Power at least 100 times.