Something I just thought of that I didn't before is powering the consoles on and off. You might be able to get a power strip with a wireless connection to remotely turn off individual outlets. Then you set each console to the on position and turn them off by turning off the outlet.
Not sure what the consequences on the hardware level would be, but essentially unplugging it from the wall while it is powered on doesn't usually harm a game console any different than just powering it off with the switch would. Maybe on the newer stuff, or the original Xbox maybe, since theyre more similar to PCs. But older stuff I can't see that being a problem.
If you wanted a truly remote setup, that is.
Wireless controllers hanging on the wall with receivers already plugged into the consoles, app controlled power outlets, remote for TV, and remote for input matrices. Might be able to consolidate with a control system or IR based solution to reduce to 1 remote for TV and input matrices. Flaschcart or modded consoles loaded with all the games already. Etc.