A bunch of flaws. That's basically been the entire premise of the 'Spider-movie' posts that I've been putting on my blog (largely for the benefit of this discussion. I would have posted them here but it got a bit too long). Not that you should be required to have read them, but I did list a fair number of flaws there in pretty meticulous detail. If you don't want to read what I have to say that's your prerogative, but to say that there are NO documented flaws in Raimi's films is untrue.
If you care to read over the points I've made you can choose from the specific topics in the following links...
Part 1: I talk about superhero movies in general, with a focus on this summer in particular; The thesis of my next posts.
http://fenskeland.blogspot.ca/2012/10/superhero-summer-retrospective-look-or.html
Part 2: I compare SM & TASM's origin, and discuss what essential story beats are needed to tell the story.
http://fenskeland.blogspot.ca/2012/10/spider-movie-part-ii-origin-story.html
Part 3: I compare the two films depictions of Peter Parker, and what it means to be a Nerd/outcast to the character and in modern society.
http://fenskeland.blogspot.ca/2012/10/spider-movie-part-iii-peter-parker-nerd.html
Part 4: I focus specifically on Spider-man, how Peter's alter ego complete's him, and how the two films did it differently
http://fenskeland.blogspot.ca/2012/11/spider-movie-part-iv-spider-man-cocky.html
Part 5: I compare the relationships between Peter and his respective love interests (in terms of story, not the actors)
http://fenskeland.blogspot.ca/2012/11/gwen-stacy-vs-mary-jane-babe-edition.html
Part 6: I compare the use of the Lizard and the Green Goblin and weigh the pro's and cons of both characters.
http://fenskeland.blogspot.ca/2012/11/spider-movie-part-vi-green-goblin-vs.html
Part 7: I compare SM and TASM as films, both in their context as stand-alone films, and their place as the first entry in a larger series.
http://fenskeland.blogspot.ca/2012/12/spider-movie-part-vii-serial-stand.html
I would agree that Kirsten Dunst was one of many weaknesses in the Raimi films, but the flaws of that series spread far and wide, and Kirsten was hardly the only (or even primary) problem.