Here's a DIY example: https://www.youtube.com/watch?v=bdo3djJrw9o
I suppose you could even point that at a screen with phosphors on it for a more CRT-like effect. (Maybe you'd need a different kind of phosphor since you'd be exciting it with visible light rather than with an electron beam, though.)
Do we? I was under the impression that CRTs were not being manufactured anywhere anymore. I could definitely be wrong, but I couldn't find anything with a quick search.
https://www.thomaselectronics.com/
But they're only building them for specialty niche military and industrial applications (e.g., replacement parts for old fighter jet HUDs). You could ask them about building one for your SNES setup or old arcade machine, but it'll cost you call-for-pricing dollars (tens or hundreds of thousands, perhaps?)