While it's pricey for a retro game system, the Analogue Super Nt is possibly the best non-emulator way to play your Super Nintendo and Super Famicom cartridges on a modern TV.
The Mega SG from Analogue promises to render your old Genesis games in 1080p with zero lag. It's compatible with over 2,180 games from the Sega Genesis, the Mega Drive, and the older Master System.