Here is the full list of all 47 The Amazing Spider-Man trophies - there are 33 bronze, 11 silver, 2 gold and 1 platinum.
Unlock all Trophies
Unlock all concept art
Collect all audio evidence
Collect all magazines
Immobilize 6 enemies simultaneously with web
Defeat the S-01 without touching the ground
Collect all Oscorp Manuals
Collect all hidden Tech Pieces
Achieve a combo streak of 42
Clear all car chases
Complete all XTreme Race challenges
Complete all XTreme Video challenges
Complete the game on super hero difficulty
Complete the game on hero difficulty
Complete the game on human difficulty
Defeat Lizard
Defeat 1000 enemies
Acquire all upgrades
Defeat Nattie
Rescue Alistaire Smythe
Defeat the S-03
Perform a Web-Rush punch
Complete all Oscorp Secret Research Labs
Resolve all police deadlocks
Rescue all infected civilians
Clear the second fight against the Hunter robots
Chain 10 Web-Rushes in the city
Collect all 700 Spider-Man Comic Pages
Return all escapees to the police
Defeat Felicia
Defeat Scorpion in the city
Defeat Rhino in the sewers
Defeat 500 enemies
Defeat Iguana
Defeat 100 enemies by performing Stealth Takedowns
Defeat the S-02
Defeat Scorpion in quarantine
Destroy a Seeker before it can call a Hunter
Clear the first fight against the Hunter robots
Defeat a Hunter without using your Web-Shooters
Defeat Vermin
Defeat 50 enemies by performing Stealth Takedowns
Save a hostage caught in a petty crime
Defeat 100 enemies
Defeat Rhino in the city
Perform 25 Signature Moves
Defeat the S-01