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