This is kinda what HDMI CEC is (https://en.wikipedia.org/wiki/Consumer_Electronics_Control). When I push the button on my AppleTV remote, the TV turns on, the receiver turns on and switches its input to the AppleTV. When push the power button again, the TV and receiver both turn off. Same thing when I grab the Playstation controller and turn it on.

I have a remote for my receiver and my TV, but I never ever touch them. The nice thing was that the only configuration required was to enable CEC on the TV and receiver. Everything else just worked.