I swear these Doom ports find me and not the other way around. Via Hackaday (again), we have a Doom port built on work by Kristoffer Andersen. You can load it onto your own SEGA Naomi arcade cabinets (if you’re lucky enough to have one).
Loading, saving, and options menus are all present and accounted for, as well as directional sound and even WAD auto-discovery. With that said, there’s only 32 KB of space for save games on the Naomi hardware, so keep that in mind if you find yourself playing regularly.