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