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