Personally I'd love to see a return to the early days, when he was basically just a super-strong alien who was used to a stronger gravity. But it probably won't ever happen.
If he were jumping skyscrapers, he'd be making huge, arbitrary craters with every landing. It just wouldn't be credible.
This is pretty much how they approached the Will Smith movie 'Hancock.'
Yeah, he was actually flying, not jumping, but aside from that detail the spirit of that film was exactly what you guys are describing.
My point being, I could enjoy a movie where a "super" man doesn't fly, but it has to be a new character. You can't do that with "THE" Superman anymore.