I am not going to make an entire list of things Raimi could have done, because I don't want a thirty-four hour article. I am keeping the actors just to keep it simple.
Spider-Man
I am just going to say it: I really liked the origin, the actors, and (even) the lack of web shooters. My only complaint is Mary Jane, the Green Goblin, and no wise cracks.
My take: Have Peter chasing Liz until the spider bite. He then goes to work for JJJ, and tries for Betty. All the while, Aunt May tries to introduce the Watson girl from next door. Peter is always making excuses to evade her--insert some comedy. Instead of the Goblin rolling in on his glider, Peter could have faced a better villain to match him,the Vulture. How could would that have been with Spider-Man versus the Vulture atop the roofs of NYC? Similar to the books, his last battle he could sprain or break his arm to add touch of reality.
Leading in to the sequel, Peter could graduate and go off to college. Orientation could introduce him to Harry and Gwen. In between, he returns to the Bugle to see Betty dating a new man. He asks JJJ to give him a new assignment, which turns out to be Dr. Octavios' fusion experiment. I know I'm borrowing from "Batman Begins," but hey, it's just a suggestion.