Here is the full list of all 41 LEGO Pirates of the Caribbean trophies - there are 25 bronze, 12 silver, 3 gold and 1 platinum.
Collect all Trophies.
Ride on all types of animal in the game
Play as all the Extra Toggle characters
Get eaten by the Kraken 10 times
Walk on the sea bed with all possible characters
Complete Port Royal in Story without dying
Complete Port Royal in Story with zero studs
Highlight the secret 6th point on all 4 level select maps (Single Player Only)
Complete the game to 100% (Single Player Only)
Collect all Gold bricks (Single Player Only)
Sail all the minikits in the hub
High dive into the Maelstrom
Play a level with all Extras turned on (Single Player Only)
Collect all the red hats (Single Player Only)
Unlock all the Queen Anne's Revenge crew characters (Single Player Only)
Unlock all characters (Single Player Only)
Unlock all the Flying Dutchman crew characters (Single Player Only)
As Jimmy Legs, whip Will Turner 5 times
Get True Pirate in all levels (Single Player Only)
Complete the Film 4 story
Reach 888,888,888 studs
Unlock all the Pirate Lord characters (Single Player Only)
In any level use only the compass to find all it's secrets in one go, alone.
Complete the Film 3 story
Unlock all Elizabeth characters (Single Player Only)
Complete all the Guard Dog levels
Complete the Brethren Court
Do 5 lady backflips in a row
Unlock all the cursed Black Pearl crew characters (Single Player Only)
Unlock all the Jack Sparrow characters (Single Player Only)
Test any custom character
Complete the Film 2 story
Fire 100 cannonballs
Complete the Film 1 story
Defeat 100 enemies
Use a spyglass
Watch a sunset
Hit a flying parrot on Smuggler's Den
Play a level in co-op
Complete Port Royal
Get eaten by a creature in deadly water