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