There's a 35w version of the i7-6700... the i7-6700T. It launched in '15 but I've only seen it shipped in pre-assembled systems from Dell, HP, Lenovo. I plan on using one when I upgrade my HTPC, which is in a closet with no ventilation along with routers, DVR, AV receiver, etc. You can get one on ebay or Amazon (third party), but the online retailers don't have them yet.

I'll keep my trusty GTX 750 Ti in that rig... sucker barely generates any heat