A simple web search for "ceramic beadboard" should be all you need. Here's one possibility. I don't vouch for it, I know nothing about it except that it exists.

https://renaissancetileandbath.com/product/mercer-6x6-bead-board-linen-crackle-sold-by-carton-only/

I did look up ceramic beadboard and only found photos of it, not tile companies that sell it. That is why I am here asking. I cannot find anyone who sells actual ceramic beadboard(for backsplash). I think I saw it at a big box store, but would like to find it somewhere other than a big box store. I have seen similar tile that kind of looks like it, but not exactly beadboard. Also wobdering if it comes in colors other than white.

I posted a link to a place where you can buy it. Click the link.

I found a lot of links to places that sell it. Try a web search on "ceramic beadboard tile for sale."

what kind of height are you looking for?

Not sure what you mean by what type of height am I looking for?

what is the height of your backsplash? under cabinets to the countertop?

or will you tile the whole wall?

Never heard of ceramic beadboard.

it's just grooved or "fluted" tile.

You can find it at HD, Tilebar, or other tile stores. (just google Fluted backsplash tile)

https://www.homedepot.com/pep/Ivy-Hill-Tile-Veluto-White-5-82-in-x-15-66-in-3D-Matte-Porcelain-Wall-Tile-6-45-sq-ft-Case-EXT3RD109695/330480852

you can order samples here too

https://www.tilebar.com/product/sample/bariano-white-6x16-3d-matte-porcelain-tile-sample.html

this one is 18x48

https://www.tilebar.com/product/plaster-fluted-white-18x48-3d-matte-ceramic-tile.html

comes in diff sizes.

Or, go cheaper and just use regular beadboard that you can paint any color