Whether it would or not, it would be a lot of fun to see a new superhero we can all look up to.
Nowadays though, he would probably have to be a teenager, probably a popular guy looking to get with some girl he likes, high class, and with some other characteristics that are not exactly of the "hero" quality. Add to that there might also be a lot of lame humor.
A good superhero like a mature adult with a career, like was Superman, would probably not work today, though to me that was and is the best kind of superhero.
Should another superhero come, I would hope it will at least be in the style of Teen Titans where the characters had at least some decency maturity wise.