GoG (2008, the wii was 2006) is probably at the forefront of old games that just work on modern hardware, though there is some occasional hiccups. I think the oldest title is from 1980.

For nintendo NES/SNES is if you have the basic subscription, n64 and genesis is an upcharge.

https://www.nintendo.com/whatsnew/detail/2021/what-you-need-...