Maybe, depends on the tastes of the user and the colors in the rest of the space. Given the white backsplash, white appliances in this particular space might result in monotonic boredom.
If white appliances, they had best be upscale models -- against these inset cabinets, fluted columns, etc. -- basic white appliances would terribly cheapen the whole space imho.

Most cabinet manufacturers, including custom ones have standard white or ivory. One of my favorites to match is Benjamin Moore's White Dove or Farrow and Ball's Wimborne White.

Thank you for your suggestions. I will have to select a color from Benjamin Moore paints and want a white that isn't too stark white but not cream or beige. I will look at the colors you mentioned. Thanks again.

Looks like marble to me