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