Step the GPU voltage up to 48V. (anyway you make a new connector that's not compatible with existing PSUs. Why not actually fix a problem at the same time, once and for all! [48V should be enough for anybody, right?])
I would be totally happy if the next gen of computers have 12V outputs to the mainboard and CPU and 48V to the GPU and other power-hungry components. This would make the PCB of those cards a bit bigger, but also would have less power losses and less risk of overheated connectors on the other hand.