As somebody who cares more about the score of this film then the actual film itself, there are just way, way too many good composers do this film, and without knowing that -exact- style, it's hard to pick one. I want to say John Powell, but people go straight to How To Train Your Dragon with that, and that is honestly one of the most beautiful scores, but they should be heading towards this more when it comes to John.
https://www.youtube.com/watch?v=9SHPUwgP7aY
The most underrated Superhero theme to ever exist, in my opinion.
For Michael Giacchino, here, go to 1:52 onwards, and imagine something like that in a Spidey film, done correctly.
https://www.youtube.com/watch?v=H9Ppk66I8J4
Music is the most imporant part of these things, and Marvel does seem to go generic route with most of them. Not counting Winter Soldier and the Avengers theme. An iconic hero, deserves a iconic theme, or it'll be nothing.
https://www.youtube.com/watch?v=ljWrrDRt6GY