Raimi's Spider-man movies looked cool when I was younger but now they look horribly cheesy
My family feels the same way about Star Trek II. "What are they doing? Posing for a photo?" was the question that I got in one of the character reaction scenes. Movies never remain contemporary, and need to be enjoyed with an understanding of when they were produced.
In the context of Raimi's films, at the time (organic web shooters aside) he was trying to produce a movie that was close to the comics. CGI effects had just come into their own, but still couldn't effectively render humans and animals. There was no weight to the images. Also, Raimi tried hard to have scenes that, when paused, looked liked comic book panels--which is why you have scenes of characters like you showed in the clips you posted.
As for Tobey, he is a good actor and I like him in a lot of stuff, but he was never really Peter Parker for me. (Or maybe he was at one point, but all those posts from 2002 are gone now, aren't they?)