Spider-Man Content Has Been Getting Added to Disney+ The show is a retelling of the classic story of Peter Parker, who is bitten by a radioactive spider that grants him superpowers, which he then uses to fight crime, including his wide range of supervillains like Doctor Octopus, the Vulture and later, Venom, among others. Though the network canceled the series before it could conclude with its third season, The Spectacular Spider-Man was a huge hit, boasting some of the highest ratings of any animated Marvel show in general and many fans consider it the best Spider-Man series ever made.