Full list of all 74 Marvel's Spider-Man trophies - 54 bronze, 14 silver, 5 gold and 1 platinum.
The base game contains 51 trophies, and there are 4 DLC packs containing 23 trophies.
Defeat Taskmaster
Purchase all Suits
Complete Act 3
100% complete all districts
Complete every Taskmaster Challenge in the city once
Take down each Prisoner Camp
Get Spectacular or better in a Taskmaster Drone Challenge
Defeat Li
Take down each Sable Outpost
Get Spectacular or better in a Taskmaster Combat Challenge
Defeat Scorpion and Rhino
Knock together 10 pairs of enemies with Trip Mines
Defeat Electro and Vulture
Unlock all Skills
Complete Act 2
Complete all Faction Crimes in a district
Complete 10 Vehicle Takedowns
Complete all Side Missions
Complete all of the Corrupted Student missions
Complete all optional projects in the lab
Take down each Demon Warehouse
Take down each Fisk Hideout
Catch all of Howard's Pigeons
Complete all Research Stations
Get Spectacular or better in a Taskmaster Bomb Challenge
Greet 10 citizens
Craft 15 Upgrades
Defeat Tombstone
Track down Black Cat
Complete Act 1
Perform 75 Stealth Takedowns
Photograph all Landmarks on the Map
Collect a Black Cat collectible
Ride the Subway 5 times
Collect all Backpacks
Chain 4 unique tricks before landing
Complete a level 1 Combat Benchmark
All Surveillance Towers activated
Pay respects at Ben Parker's grave
Perch atop Avengers Tower
Wear 5 new Spider-Suits
Defeat Shocker
Traverse across the city rooftops
Complete a level 1 Traversal Benchmark
Complete all objectives in a base
Perfect Dodge 10 attacks
Craft your first Upgrade
Collect 5 Backpacks
Defeat Fisk
Collect all Trophies
Get Spectacular or better in a Taskmaster Stealth Challenge
Complete a New Game+ playthrough
Complete a playthrough on Ultimate difficulty
100% Complete CTNS: The Heist
Complete the "Follow the Money" mission
Get Spectacular or better in all Screwball Challenges
Complete the Black Cat chase
Complete the "Like a Fiddle" mission
Complete all Crimes in a district
Complete "The Maria" mission
Complete the "Bring the Hammer Down" mission
Complete the "Lockup" mission
Complete the "Blindsided" mission
100% complete CTNS: Turf Wars
Take down each Hammerhead Front
Complete the "Old Friends" mission
100% Complete CTNS: Silver Lining
Complete the Screwball chase
Complete the "One Plus One Equals Win" mission
Complete the "Aiding a Human" mission
Complete the "Scales of Justice" mission