Pirates of the Caribbean: Dead Man's Chest - A Game Boy Advance and Nintendo DS game based on the 2006 film with the same name. It features where you must fight the Flying Dutchman crew and escape from the Kraken.
Pirates of the Caribbean: At World's End - A Nintendo Wii and DS game based on the 2007 film of the same name. It features where you have a war with the Flying Dutchman and the Black Pearl where you'll have to fight Davy Jones to kill him.
Lego Pirates of the Caribbean: The Video Game - A Nintendo Wii and DS game where you play through the four films from the LEGO Pirates of the Caribbean franchise, where you play as the characters made of LEGO. It was released before the movie, Pirates of the Caribbean: On Stranger Tides was released.
Disney Universe - A Nintendo Wii game where you go through the first Pirates of the Caribbean world, which is unlocked for free. The first costume you receive is Angelica. The unlockable ones are Barbossa, Gibbs, Jack Sparrow and Blackbeard.
Disney Infinity - A Nintendo Wii, Wii U and 3DS game where you play through many Disney worlds. There is a Pirates of the Caribbean playset which includes the world, a few story missions and the characters, Captain Jack, Barbarossa and Davy Jones.
The game based on the fourth film with the same name wasn't released for any video game console.