Here is the full list of all 44 Pirates of Black Cove achievements.
Completed chapter 4
Used 99 bottles of grog
Completed chapter 3
Completed chapter 2
Completed chapter 1
All available unit spots filled, including heroes
All different unit types under control at the same time
Unlocked all special weapons
Constructed all buildings in all strongholds
Found all blueprints
Destroy 20 banks
Finished the game
United all the factions
Complete all Buccaneer Story missions
Complete all Corsair Story missions
Met the ghosts
Unlocked all ship upgrades.
Bought first special weapon
Captured a ship without losing any ship health
Sink 5 Black Cove ships!
Sailed at the seas while under 20% of ships hitpoints for 5 minutes
Picked up a total of 50 ingredients for the Mad Alchemist
Complete all Pirate Story missions
Overdrank grog 5 times
Killed 20 ranged soldiers using melee units
Killed 20 melee soldiers using ranged units
Managed to reach Sirens
Bought the first visual upgrade for ship
Visited a colony
Complete the first pirate faction mission.
Successfully captured a ship
Found first joke
Used the human catapult
Complete the first storyline mission
Sunk 100 ships with mortar
Stunned 10 enemy soldiers simultaneously with stink bomber
Found all jokes in the game
Spent 30 minutes on the world level without participating in any mission
Sunk 100 ships with basic cannons
Player ship destroyed (from max hp) by one broadside from a Black Cove ship
Found 50 Eyepatches of the Beholder
Created a total of 10 potions with the Mad Alchemist
Owned 20 ships at the same time
Hired a total of 50 units