Right now it's not easy to search for (and tell the difference between) games that will run on real console hardware versus ones which are just 8/16-bit console styled or inspired.
For example, many of the games tagged "gameboy" or "nes" are only built for and run on Windows/Web/etc.
https://itch.io/games/tag-gameboy
https://itch.io/games/tag-nes
So if you're trying to find games to run on a real NES or Game Boy it's labor intensive to look through each entry in the results to find out if it's meant for real hardware.
If there was a "Console" option for the platform list (Win/Mac/Linux/Android/iOS/Web) that could make it easier to filter out unwanted results (for both wanting or not wanting console-hardware games).
(I opened an issue for this on Github last year, but it hasn't had any action so I thought I'd open it here too. https://github.com/itchio/itch.io/issues/1021 )