To unlock the Seduced by the City trophy in Spider-Man The City That Never Sleeps: The Heist, you need to reach 100% completion in the DLC episode which you can track by looking at the DLC tab in the Main Menu. Here's what you need to do:
-- Complete the main story campaign:
-- Find all of the stolen paintings on the map and resolve the final side mission attached to them:
-- Complete 5 randomly generated Maggia crimes in each district (excluding Harlem and the southern districts, which have no new crimes)
-- Complete all 5 Screwball Challenges at least once, with any rating (note that you'll need Spectacular anyway for a different trophy:)
Once you have completed the final task and your completion tips over to 100%, the trophy will unlock.