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