Treyarch hit gold with the release of Spider-Man 2 on sixth generation consoles, it's what everyone wanted in a Spidey title. It was successful enough to raise the bar for licensed games in general, and also establish Spider-Man as a pseudo-popular gaming brand. Treyarch went on to make Ultimate Spider-Man, which improved on 2's mobility and combat, and later, Spider-Man 3 for the PS3/360, and Web of Shadows. Now, regardless of the mixed reception concerning the last two, I am pretty firm in my belief that they're all great games. The game we're playing today is only tangentially related to them, though.
Developed by Vicarious Visions instead of Treyarch, this version of Spidey 3 came out in that strange time period where the PS2 was still profitable, but next-gen games had already landed. As such, it was necessary to develop some games for both generations, often with significant differences in spite of an identical title. In short, this Spider-Man 3 has no relation to the flashier looking, more fluid one on seventh gen consoles.
Don't go sulking away just yet! Although Spidey 3 on PS2 isn't quite as polished or creative as its brothers, it's still a fun game in its own right. It borrows elements from both Spider-Man 2 and Ultimate Spider-Man, adds a few new ideas, and overall is a very average experience. It's still Spider-Man though, and you still roam around a big city busting criminal heads and taking out iconic villains. Just expect a bit of a bumpy ride.
Wasn't there a Spider-Man 3 on the Wii?
It's the same as this one, but with motion controls. The Wii wasn't really ever considered a seventh gen console, so that's to be expected.
That's everything, true-believers!