Here is the full list of all 50 Marvel's Spider-Man: Miles Morales trophies - there are 37 bronze, 10 silver, 2 gold and 1 platinum.
Collect all Trophies
Complete the game on New Game+
Purchase all suits
Unlock all Skills
100% complete all districts
Open all Underground Caches
Shut down all Roxxon Labs
Unravel a criminal conspiracy in Harlem
Complete all FNSM app requests
Complete the Final Test
Complete every Spider-Training Challenge once
Shut down all Underground Hideouts
Perform 25 Ceiling Takedowns
Complete all Bonus Objectives for every crime type
Perform 25 Wall Takedowns
Collect all Postcards
Defeat 50 enemies with Remote Mine gadget
Collect all Sound Samples and recreate the Davis Brothers Mix
Craft 10 Upgrades
Pay your respects to a legend in the Upper West Side
Pay respects at Jefferson Davis' grave in Harlem
Scroll through the entire Social Feed at the end of the story
Collect all Time Capsules
Ride the derelict boat in southern Chinatown
Save Harlem
Defeat 100 enemies with Venom attacks
Walk through Miles and Phin's past
Beat Phin at the rocket launch mini-game
Complete an Enemy Base without being detected
Defeat Prowler
Defeat Roxxon Rhino
Get Spectacular or better in a Spider-Training Stealth Challenge
Perform 100 Stealth Takedowns
Defeat 50 enemies while Camouflaged
Get Spectacular or better in a Spider-Training Traversal Challenge
Chase Tinkerer through the city
Perform a Venom Jump, then a Venom Dash on a single enemy
Use Venom Dash to throw an enemy into a group of three or more
Complete the vault sequence in Underground Undercover
Investigate Roxxon's underground lab
Get Spectacular or better in a Spider-Training Combat Challenge
Keep the bridge together
Apply a sticker and customize lighting while in Photo Mode
Craft a Visor Mod
Craft a Suit Mod
Get the trains running again
Perform a 100x Combo
Receive the Gift Suit
Ride Rhino through the mall
Smash into 15 breakable objects while steering Rhino through the shopping mall