Here is the full list of all 50 Sly Cooper: Thieves in Time trophies - there are 41 bronze, 5 silver, 3 gold and 1 platinum.
Collect every bronze, silver, and gold trophy.
Beat every hideout arcade's top high score.
Shoot 40 penguins with Carmelita.
Place 60 bombs in enemy pockets with Bentley.
Take a look at every map in every episode.
Battle with a secret weapon.
Collect all the hidden Sly masks.
Don't take any damage during Up In Smoke.
Scale the dragon lair in under 90 seconds.
Have the perfect workout during the Training Montage.
Pickpocket a full collection of every item in the game.
Defeat El Jefe on each tower without losing any health.
Don't miss a single glass of sarsaparilla in Saloon Bug.
Crackshot 10 enemies within 65 seconds.
Paraglide for at least 10 seconds without using any geysers!
Beat the top high score of one hideout arcade.
Unlock all 6 arcade machines.
Repair any arcade machine.
Collect over 20 treasures.
Have a 20 hit rally with Bentley in each hideout.
Complete every job and beat every boss in all the episodes.
Complete all the jobs and beat the boss in Episode 5.
Slam 100 enemies with Murray.
Don't miss a beat in the Carmelita dance game.
Use the compass many times to navigate.
Purchase every item in ThiefNet.
Complete any Alter Ego without leveling up once.
Unlock the Cooper Safe in Episode 5.
Obtain every costume in the game.
Make friends with Sly's long lost Cooper relative in Episode 5.
Complete all the jobs and beat the boss in Episode 4.
Complete the archery minigame without hitting any friendly targets.
Meet up with an old adversary.
Unlock the Cooper Safe in Episode 4.
Introduce Sly to his long lost Cooper relative in Episode 4.
Pickpocket 10 unique items.
Complete all the jobs and beat the boss in Episode 3.
Track down Sly's long lost Cooper relative in Episode 3.
Unlock the Cooper Safe in Episode 3.
Complete all the jobs and beat the boss in Episode 2.
Unlock the Cooper Safe in Episode 2.
Reunite with Sly's long lost Cooper relative in Episode 2.
Unlock a costume gate in any episode.
Complete all the jobs and beat the boss in Episode 1.
Rescue Sly's long lost Cooper relative in Episode 1.
Unlock your first change of clothing.
Unlock the Cooper Safe in Episode 1.
Stealth kill 15 enemies without alerting anyone.
Make your first purchase on ThiefNet.
Collect your first hidden Sly mask.