The story, even if one of the best stories for a comic-book video game, it still could've been better. Not to bash the story, but I think if they added in the idea of how Venom was creating the symbiotes in Web of Shadows, it would've been better than how the PS1 game portrayed it(which is funny since WoS basically stole that idea/concept from the PS1 game).
I can't comment on the gameplay in Spider-Man 2, but I know I did enjoy swinging around in the PS1 game, although I didn't like how you were expected to do such because of that green smog.