I've the iPhone 5S with the new Apple case.
The problem with that case is that the headphone socket is too narrow to connect my EarSonics (I've the impression that only the oficial Apple headphones will connect through the cover). So I just opened a larger hole in the cover with a knife. Now its functional but it's not pretty.
So what's a high quality cover that protects, looks nice and allows a variety of headphones to be connected?