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