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