Here is the full list of all 22 Broadside achievements.
Reach 10000 Infamy across all games.
Unlock all characters on one profile.
Sail all ship types in a single game.
Sink 100 ships across all games.
Capture a First Rate Pirate Hunter.
Survive for 1 Hour.
Capture a Ship of the Line.
Parry 100 attacks.
Unlock all starter Ships on a single profile.
Parry 50 attacks.
Survive 20 minutes in the same ship.
Reach 1000 Infamy in a single game.
Obtain all Upgrades in a single game.
Reach 500 Infamy in a single game.
Parry 10 attacks.
Sink 20 ships across all games.
Sink a Pirate Hunter.
Sink a Treasure Ship.
Reach 100 Infamy in a single game.
Sink an Enemy Ship.
Capture a Ship during Boarding Action.
Replace more than half your health with Rum.