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