If David Fincher made Spider-Man
When the rights for Spider-Man finally untangled, many top directors were considered for the gig, including David Fincher, who was also up for a Batman movie after the franchise collapsed with Batman and Robin.
Fincher has been up for a number of movies in the past, including Dogtown and Z Boys and The Lookout, and for some time after Fight Club it took him a while to commit to anything.
Originally, James Cameron was going to do Spider-Man if Fox was able to get the rights, but instead they wound up at Sony, and they finally got Sam Raimi to commit. This (thankfully) proved Sony took the franchise more seriously than other studios were taking comic movies at the time.
Spider-Man certainly would have been interesting through the lens of Fincher. Indeed, the "scriptment" of Cameron's Spider-Man leaked a while back and, IMHO, would have made a pretty good film with Fincher at the helm.
However, one big sticking point with Fincher was that he didn't want to make an "origin story." As reported on Cinemablend, Fincher said, "I was never interested in the genesis story. I couldn't get past a guy getting bit by a red and blue spider."
Instead, Fincher wanted to have a ten minute opening credit sequence, "basically a music video, an opera, that took you through the entire Peter Parker [backstory]. Bit by a radioactive spider, the death of Uncle Ben, the loss of Mary Jane, [then the movie] was going to begin with Peter meeting Gwen Stacy." It wouldn't be "the teenager story. It was much more of the guy who's settled into being a freak."
Raimi's first Spider-Man wasn't the greatest comic movie ever made, but thankfully, it wasn't Batman and Robin either. A Spider-Man movie would have been huge no matter who directed it, or how good or bad it turned out, but a darker, Fincher helmed Spider-Man is certainly an intriguing idea, and going through the origin story quickly before getting into the main meat of everything was an interesting way to set it up as well.