* Spider-Man 2 (2004): A highly acclaimed game based on the movie of the same name.
* Spider-Man 3 (2007): Based on the film, this game featured a web-swinging mechanic similar to the console versions.
* Spider-Man: Friend or Foe (2007): A more action-oriented game where Spider-Man teams up with other Marvel heroes to fight villains.
* Spider-Man: Web of Shadows (2008): A darker and more mature take on the Spider-Man story, this game offered both a "Hero" and "Symbiote" gameplay style.
So while no game directly titled "The Amazing Spider-Man" exists for the PSP, there are still some great Spider-Man games to enjoy on the platform.