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