Here is the full list of all 42 The Amazing Spider-Man trophies - there are 23 bronze, 16 silver, 2 gold and 1 platinum.
Unlock all Trophies
Complete the game on human difficulty
Complete the game on hero difficulty
Complete the game on super hero difficulty
Collect all 700 Spider-Man Comic Pages
Collect all magazines
Collect all hidden Tech Pieces
Collect all Oscorp Manuals
Collect all audio evidence
Achieve a combo streak of 42
Perform 25 Signature Moves
Perform a Web-Rush punch
Immobilize 6 enemies simultaneously with web
Defeat 50 enemies by performing Stealth Takedowns
Defeat 100 enemies by performing Stealth Takedowns
Clear the first fight against the Hunter robots
Clear the second fight against the Hunter robots
Defeat the S-01
Defeat the S-02
Defeat the S-03
Defeat a Hunter without using your Web-Shooters
Defeat the S-01 without touching the ground
Rescue Alistaire Smythe
Defeat Scorpion in quarantine
Defeat Felicia
Defeat Vermin
Defeat Nattie
Defeat Lizard
Defeat 100 enemies
Defeat 500 enemies
Defeat 1000 enemies
Acquire all upgrades
Chain 10 Web-Rushes in the city
Rescue all infected civilians
Return all escapees to the police
Clear all car chases
Resolve all police deadlocks
Destroy a Seeker before it can call a Hunter
Save a hostage caught in a petty crime
Complete all Oscorp Secret Research Labs
Defeat Rhino in the city
Defeat Scorpion in the city