I've carried a Datasafe wallet made by Kena Kai for ten years or so. It includes a metallic mesh next to the leather that is durable enough that the wallet is still in good shape. I have no idea how well the protection truly works (it's marketed as complying with "FIPS-201 guidelines," which might not mean a lot) but it's been an excellent wallet in its own right.
There don't seem to be nearly as many of these for sale now as there were ten years ago, which is interesting.
Many cards are programmed to stop working if their antenna is disconnected/broken. Not sure why, but I assume it's an anti-reverse-engineering thing. Or perhaps the antenna has another use like a power supply smoothing inductor.