Here is the full list of all 51 Assassin's Creed: Brotherhood trophies - there are 36 bronze, 13 silver, 1 gold and 1 platinum.
Win every trophy.
Receive 100% synch in ACB and full synch in all missions of the Da Vinci Disappearance.
Remove All Borgia Flags in Rome.
Kill 10 guards with a single arrow storm.
Jump with the parachute off the top of Castel Sant'Angelo.
Beat up the 5 thirsty harlequins.
Win 10000 florins playing Hazard.
Win the highest bet at the Fights.
Solve all of Subject 16’s puzzles.
Secure the Apple of Eden.
Complete DNA Sequence 9.
Complete DNA Sequence 8.
Discover the Shrine in the Basilica di San Pietro.
Collect All Feathers.
Complete DNA Sequence 7.
Double Assassinate from a parachute.
Throw a Long Weapon, Heavy Weapon, and Smoke bomb more than 10 m at a guard.
Discover the Shrine in the Cloaca Maxima.
Train a recruit up to the Rank of Assassin.
Destroy the Bomber.
Discover the Shrine in Palazzo Laterano.
Burn All Borgia Towers.
Complete DNA Sequence 6.
Complete 10 Guild Challenges.
Destroy the Tank.
Complete DNA Sequence 5.
Destroy the Naval Cannon.
Complete DNA Sequence 4.
Destroy the Machine Gun.
Earn 3 gold medals in the Animus Virtual Training Program.
Discover the Shrine in the Catacombe di Roma.
Discover the Shrine in Il Colosseo.
Steal 5 horses from their riders, while remaining on horseback.
Recruit 3 Assassins.
Complete DNA Sequence 3.
Achieve 100% Synchronization in any Sequence other than Sequence 1.
Complete the Da Vinci Disappearance.
Kill a guard with the bag that drops from a lift.
Replay a Memory.
Throw money in a well.
Renovate 5 buildings in the Antico district.
Pay 500 florins to an orator, then pickpocket him afterward.
Kill a guard with a broom.
Find 1 Artifact in 2012.
Access your email in 2012.
Complete DNA Sequence 2.
Discover the Shrine in the Terme di Traiano.
Perform an Execution Streak of 10 kills.
Find a secure place to hide and re-enter the Animus.
Complete DNA Sequence 1.
Attempt to access DNA Sequence 9 for the first time.