Here is the full list of all 45 Assassin's Creed III Liberation trophies - there are 22 bronze, 21 silver, 1 gold and 1 platinum.
Collect all other 44 Trophies for this Trophy
Achieve 100% Synchronization in all Sequences
Kill all Citizen E and experience the true ending
Complete the game (fake ending)
Complete Sequence 8
Complete Sequence 7
Reach the maximum player level in the multiplayer
Collect every Mayan statuette
Complete Sequence 6
Climb 8848 meters
Buy the maximum number of ships (8)
Block 10 firing lines with a human shield
Complete 15 Air Assassinations from trees
Complete every Pirates mission
Complete Sequence 5
Collect all the mushrooms collectibles
Complete every Business Rivals mission
Kill 25 enemies with the Parasol Gun
Charm 50 NPC's
Kill 50 enemies from haystacks using the Blowpipe
Collect every diary page
Collect every persona-specific collectible
Collect every alligator egg
Complete every Bayou Fever mission
Survive 5 alligator encounters
Participate in 100 fights in multiplayer
Kill 7 guards on rooftops in the Lady Persona
Hang an enemy on the gibbet at the Place d'Armes
Kill an enemy from a tree, with the blowpipe, while using eagle vision
Complete 30 economic missions in multiplayer
Complete every Free Slaves mission
Perform 10 predator moves using the Whip
Complete Sequence 4
Synchronize all viewpoints
Complete Sequence 3
Change your persona 50 times
Buy every Dressing Chamber
Kill 5 guards in 15 seconds using only the Sugarcane Machete (without using the Chain Kill)
Use berserk poison to force an enemy to kill 5 enemies
Pickpocket 5000 écu
Complete Sequence 2
Tree Run for 10 branches without touching the ground
Complete Sequence 1
Buy your 1st Dressing Chamber
Move through New Orleans for 10 minutes in the Assassin Persona