I bought this stand for my iPhone 5S from Amazon called the
Twelve South HiRise for iPhone/iPad mini-brushed Metal Stand Designed to Work with your Apple Lightning Cable.
The top picture shows it supporting the phone without a case. It does NOT come with a cable or a connector at all. It uses your existing USB to Lightning cable in an ingenious way as the price of the stand is less $$$ than the limited Apple dock, which always requires removing the case.