Here is the full list of all 55 Assassin's Creed III Remastered trophies - there are 46 bronze, 7 silver, 1 gold and 1 platinum.
Get every trophy.
Reach 100% synchronization in New York. (TOKW: Redemption)
Defeat George Washington. (TOKW: Redemption)
Kill 125 enemies using Bear Might. (TOKW: Redemption)
Reach 100% synchronization in Boston. (TOKW: Betrayal)
Defeat Putnam. (TOKW: Betrayal)
Use Eagle Flight to travel 1 km. (TOKW: Betrayal)
Reach 100% synchronization in the Frontier. (TOKW: Infamy)
Defeat Benedict Arnold. (TOKW: Infamy)
Kill 25 enemies while staying cloaked. (TOKW: Infamy)
Receive an unexpected gift. (TOKW: Infamy)
Complete the Encyclopedia of the Common Man.
Complete ALL progress tracker grid entries.
Win a game of Fanorona, Morris and Bowls on the Homestead.
Complete all 12 Privateer Contracts.
Complete all Naval Missions aboard the Aquila.
Complete all challenges for any of the Clubs.
Uncover the mystery of Oak Island.
Explore Fort Wolcott.
Complete each of the epilogue missions unlocked after the credits roll.
Open the Temple Door and learn Desmond's fate.
Complete Sequence 12.
Complete 100% of all main mission constraints.
Complete Sequence 11.
Hang 5 enemies by using rope darts.
Complete Present - Abstergo.
Complete Sequence 10.
Kill 15 guards with a single cannon shot.
Complete Sequence 9.
Craft one of Franklin's inventions to decorate your Manor.
See all the optional characters settled at the Homestead.
Exchange undamaged pelts at all different general stores.
Send a convoy to Boston, New York and the Frontier.
Have a Trainee reach the Assassin Rank.
Complete 50% of the Progress Tracker entries.
Witness a predator killing an enemy.
Complete Present - Stadium.
Complete Sequence 8.
Upgrade the Aquila.
Complete Sequence 7.
Loot a convoy without killing any of its guards.
Complete Sequence 6.
Liberate all districts in Boston OR New York.
Retrieve every page for one of Ben Franklin's Almanacs.
Perform a double assassination using a musket.
Complete Present - Skyscraper.
Complete Sequence 5.
Recruit any of the Artisans and see them settled on the Homestead.
After becoming fully Notorious, kill 10 Jagers before losing your notoriety.
Block a firing line 5 times by using a human shield.
Be invited to join a Club.
Complete Sequence 4.
Complete Sequence 3.
Complete Sequence 1 & 2.
Re-Enter the Animus.