I used ordered dithering in my ZX Spectrum raytracer (https://gabrielgambetta.com/zx-raytracer.html#fourth-iterati...). In this case it's applied to a color image, but since every 8x8-pixel block can only have one of two colors (one of these fun limitations of the Spectrum), it's effectively monochrome dithering.
Bayer dithering in particular is part of the signature look of Flipnote Studio animations, which you may recognize from animators like kekeflipnote (e.g. https://youtu.be/Ut-fJCc0zS4)
If the author stops by, I'd be interested to hear about the tech used.
Dithering - Part 1
https://news.ycombinator.com/item?id=45750954