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