Here is the full list of all 46 The Amazing Spider-Man achievements.
Chain 10 Web-Rushes in the city
Unlock all concept art
Collect all 700 Spider-Man Comic Pages
Save all hostages caught in petty crimes
Defeat 1000 enemies
Clear all car chases
Complete all XTreme Race challenges
Complete all XTreme Video challenges
Complete the game on hero difficulty
Complete the game on super hero difficulty
Complete the game on human difficulty
Defeat Lizard
Collect all Magazines
Collect all Audio Evidence
Defeat Nattie
Acquire all upgrades
Rescue Alistaire Smythe
Defeat the S-03
Collect all hidden Tech Pieces
Collect all Oscorp Manuals
Complete all Oscorp Secret Research Labs
Rescue all infected civilians
Resolve all police deadlocks
Clear the second fight against the Hunter robots
Win the showdown in the water treatment facility
Return all escapees to the police
Capture the cat burglar
Defeat 100 enemies by performing Stealth Takedowns
Defeat Scorpion in the city
Rescue the civilian in the train docking station
Defeat 500 enemies
Achieve a combo streak of 42
Perform a Web-Rush punch
Defeat the S-02
Defeat Scorpion in Oscorp tower
Defeat 50 enemies by performing Stealth Takedowns
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
Immobilize 6 enemies simultaneously with web
Defeat 100 enemies
Defeat Rhino in the city
Perform 25 Signature Moves
Defeat the S-01 without touching the ground
Defeat the S-01