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