Are there any displays with non-regular pixel grids?

Though AFAIK, displays have regular patterns, there are some less common patterns, such as PenTile RGBG.

By Matthew Rollings at English Wikipedia, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=14914205

You might also find the pattern of pixel colors in sensors of interest, but again, they are not irregular, just in a different pattern.

To avoid color moiré effects, it would be interesting to see if a screen or sensor could be made with non-repeating Penrose tiling. The pixel ratio could be kept constant, yet there would be no large-scale straight-line patterns.

BTW, the Autochrome Lumière color photography process relied on truly random color pixels, with no pattern to the display.