Well when you put two whites together which ever is whiter will make the cream one look dirty and dingy

I find the appliance choices the most frustrating. I recently just bought a cream shaker cabinet, but white appliances do not match and beige appliance are not made in all brands. So it seems as though I am stuck with stainless steel or getting custom wood faces that match the cabinets. Looking back I white should have been more of a consideration because I would have been able to include a plain white appliance. I do not prefer stainless steel because of the maintenance.

And yes they should blend otherwise they might appear dingy. You could try a marble or travertine stone that has a mixture of colors. That way you can't tell.