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