I could envision a special new processor, eg something neuromorohic, that can perform unique algorithms at low power that are expensive to simulate on cpus or GPUs. Then if these are cheap enough to manufacture, the mining must be done on the special device to be worthwhile, and then the mining would have tiny energy impact. I would hope it would be a milliwattcoin. It would only take a milliwatt to mine a block and create a coin, but it could still take 10 mins.
Somehow I think there is a contradiction here, but at the same time it sounds alluring.