I guess I'll have to wait until the new Supes movie comes out to know for sure but I think part of the reason both The Avengers and Dark Knight trilogy works is because the heroes, for the most part, aren't really super-powered. Of course, they aren't realistic at all but there is still a thought that training, technology or science made these heroes (Thor excepted) so there is a tiny connection to them to the audience. Watching super-beings like
and Wonder Woman reduces the audience to just watching the show with little personal involvement.
If they could make the heroes more like a cross between Nolan's Batman and the CW show "Arrow", I think they could do something cool.
BTW, I know none of it realistic at all - no amount of training is going to make you be able to take the punishment Bruce Wayne takes as Batman, for example - but it is more "believable" than super-powered aliens.