, there are minimalist aramid fiber (Kevlar) cases that barely feel like you've got anything on the phone. They don't provide the same protection as a case with a bumper around the perimeter, but they still protect the phone from many drops.
Picking the top three cases isn't easy, since some of the minimalist case have features and other differences that appeal to some people and which other people don't like, including artwork. But some of the main manufacturers of minimalist cases that get good reviews are Benks, Pitaka, and Phone Rebel. I bought the Benks minimalist case, and it feels very nice and slim, but other manufacturers make very similar cases.