Here is the full list of all 48 Spider-Man: Edge of Time trophies - there are 38 bronze, 6 silver, 3 gold and 1 platinum.
Unlock all trophies to earn this.
Complete all chapters on Hard
Obtain all Golden Spiders
Complete all chapters on Normal
Obtain all Newspapers
Obtain all Alternate Suits
Complete Act 3 on any difficulty level
Defeat the CEO on any difficulty level
Defeat Atrocity on any difficulty level
Buy all Character Upgrades
Buy all Combat Upgrades
Web of Challenges - Obtain All Gold Medals
Teleport back to Alchemax with the Key
Bring the Incinerator to Maximum Power
Execute a 200-hit combo
Retrieve all three DNA Samples from the knocked-out Atrocity
Perform 3 of each Air Attack on enemies
Analyze all Data Modules
Execute a 100-hit combo
Perform 3 of each type of Grab Attack on enemies
Complete Act 2 on any difficulty level
Defeat Black Cat on any difficulty level
Obtain 1/2 of the Golden Spiders
Save Mary Jane
Gain access to the Future Restricted Area
Gain access to the Restricted Archives Computer
Complete a Freefall section by boosting the entire time
Defeat 500 enemies
Collect all three Atomic Fuses
Evade 100 attacks with Hyper-Sense
Collect 2000 Orb Fragments
Damage enemies with Roundhouse Spin and Web Hammer 10 times each
Obtain 1/4 of the Golden Spiders
Complete Act 1 on any difficulty level
Defeat Anti-Venom on any difficulty level
Web of Challenges - Obtain All Gold Medals for an Act
Stop the future from becoming a radioactive wasteland
Reach Floor 66
Collect 1000 Orb Fragments
Avoid 100 Attacks with Accelerated Decoy
Execute a 50-hit combo
Erase the Prototype Combat Robot from existence
Complete Session 3 or later without dying
Web of Challenges - Obtain All Gold Medals for a Chapter
Defeat 100 enemies
Collect 500 Orb Fragments
Foresee the death of Spider-Man
Spider-Man is down and out