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