Here is the full list of all 46 The Amazing Spider-Man achievements.
Complete all Oscorp Secret Research Labs
Resolve all police deadlocks
Return all escapees to the police
Rescue all infected civilians
Chain 10 Web-Rushes in the city
Complete the game on hero difficulty
Complete the game on super hero difficulty
Complete the game on human difficulty
Defeat Lizard
Defeat Nattie
Rescue Alistaire Smythe
Defeat the S-03
Immobilize 6 enemies simultaneously with web
Clear the second fight against the Hunter robots
Capture the cat burglar
Defeat 500 enemies
Perform a Web-Rush punch
Defeat Scorpion in the city
Defeat 100 enemies by performing Stealth Takedowns
Defeat the S-02
Defeat Scorpion in Oscorp tower
Destroy a Seeker before it can call a Hunter
Clear the first fight against the Hunter robots
Defeat Vermin
Defeat 50 enemies by performing Stealth Takedowns
Perform 25 Signature Moves
Defeat 100 enemies
Defeat Rhino in the city
Defeat the S-01
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
Defeat a Hunter without using your Web-Shooters
Defeat the S-01 without touching the ground
Rescue the civilian in the train docking station
Win the showdown in the water treatment facility
Defeat 1000 enemies
Acquire all upgrades
Unlock all concept art
Clear all car chases
Save all hostages caught in petty crimes
Complete all XTreme Video challenges
Complete all XTreme Race challenges