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