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