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