Whilst the game based on the first film was well received upon release, the sequel was such an improvement that it has since fallen under this trope.
The PSP version of Spider-Man 2 is widely considered to be a lackluster game, lacking most of the features that allow the home console version to avert this trope.
The Spider-Man 3 games, are a bit more complicated. Whilst the PS3/Xbox 360/PC version is considered a decent-to-average game that doesn't improve upon it's predecessor, the PS2/Wii version is considered a widely inferior game that took several steps back from Spider-Man 2.
Real-Life Relative: Ted Raimi in all three films; Tobey Maguire's half-brothers (the two boys who give Peter back his mask) in 2; Sam's Raimi's daughter (the little girl with the camera who sells it to JJ) in 3.
Star-Making Role: For Tobey Maguire. It was also James Franco's first big role, but he never became a main event player until later on. Some actors and actresses in the cast also got additional boost because of the trilogy.
Jake Gyllenhaal would've taken over the role of Peter Parker if Maguire's back problems became too much. Which makes a lot of sense; they resemble each other so much, they actually played brothers in the film of the same name.
The script for the fourth film which caused Raimi to leave. According to reports, it had Peter married to Mary Jane for several years, Adrian Toomes replacing Jameson as head of the Daily Bugle, Spider-Man deliberately killing the Vulture, inciting the wrath of Felicia Hardy -who would here not be the Black Cat, but the Vulture's daughter, with whom Peter would essentially cheat on Mary Jane with; and most notably, the ending would have had Mary Jane leaving with her and Peter's baby, and "Spider-Man No More" happening again. According to sources, Raimi was repeatedly vocal about how much he hated this script.
Sam Raimi also wanted Dr. Curt Connors (who was played by Dylan Baker in the previous two films) to become The Lizard at some point in the film.
Stan Lee was going to deliver the "He stole that guy's pizza!" line in 2.
Years ago, James Cameron was going to do the Spider-Man movie with Arnold Schwarzenegger as Dr. Octopus. During this time, there was also another R-rated treatment that had a villain who was a Composite Character of Norman Osborn and Electro, would feature Spider-Man killing criminals, and would have MJ and Spidey having sex on a big web while Peter kept his mask on.
Doctor Octopus was going to appear in the first film as a secondary villain to the Green Goblin. Raimi felt that having three origin stories would make the movie too cluttered and so Doc Ock was saved for the sequel.