Here is the full list of all 44 Shantae and the Pirate's Curse achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Defeated the Pirate Master.
Defeated the Steel Maggot.
Help Ammo Baron fire the Palace Disruptor Cannon.
Collect the Enchanted Blade.
Obtain the Spirit from Abner.
Defeated Dagron.
Defeat 50 enemies using Pirate Weapons.
Collect 50% of the Heart Squids.
Obtain Manly Musk.
Obtain the Fossil.
Collect 50% of the Dark Magic.
Use a Pirate Flare to return to Risky's ship.
Defeated the Squid Baron without taking damage.
Defeated the Squid Baron.
Obtain the Golden Pickaxe.
Obtain all three Mummy Sketches.
Defeated the Empress Spider.
Defeated the Empress Spider without taking damage.
Destroy 10 Spider Eggs before they hatch.
Get Rottytops to Abner Tree without making any mistakes in a single attempt.
Obtain Squid Oil.
Defeat 250 enemies using Shantae's Monster Whipper!
Defeated the Cyclops Plant.
Release the Ham Stink.
Defeated the Ammo Baron.
Play keep away with the Ammo Baron.
Defeated the Ammo Baron without taking any damage.
Defeated the Cyclops Plant without taking damage.
Defeated Dagron without taking damage.
Defeated the Steel Maggot without taking damage.
Defeated the Pirate Master without taking damage.
Saved Scuttle Town as fast as possible!
Defeat the Pirate Master's true form.
Defeat the Pirate Master's true form and save Scuttle Town in record time!
Defeated the Pirate Master's true form without taking any damage.
Complete the game without any Health upgrades and all Heart Squids collected.
Collect all Heart Squids.
Collect all of the Dark Magic.
Discover the secret Labyrinth.
Complete the hidden training room.
Collect all Labyrinth maps.
Destroy 20 bones with the Bubble Shield.
Defeated the Cyclops Plant using only Pike Balls.
Sample the entire menu!