I've never paid that much attention to retro hardware - I still have a lot of the originals in my parents' garage.
I just moved, which gave me an opportunity to give all the old Rock Band instruments that were too loud for my last apartment a fresh try. It's disappointing how bad RCA-era systems like the Wii looks on a 4K OLED. The upscaling is blurry as shit.
I've been trying to get all my songs imported into YARG (an open source Rock Band clone), but if I can't get that working, maybe I should get a scanline generator. (It applies a filter to the video to replicate the look of a CRT.)
There was also an official component cable which would look much nicer than the composite that the Wii comes with. But your 4K tv almost definitely don't have component input.