Ceramic/clay does great - but depending on what the interior is like your engraving may be invisible without some sort of colouring added. Check out this tile thread for advice/ideas:
You basically laser through the finish and expose the raw underside. It’s a cool effect - but keep in mind the platter will absorb what gets put on it now that the finish is incomplete…so food safe pretty much only for dry things (and some would say not at all).