As an imagination exercise why not try to design a new style phone. You can like me use the free Blender 3D software to do this. My idea is to model it using an elliptical cylinder over a flat screen. My original idea was to emulate an glass pearl with a deep color. But I think this design looks quite nice. Even if glass bends light. I believe if you can recognize the objects looking fairly ordinary then you would accept a little distortion. Apart from looking interesting the feeling of holding the phone should be better than with todays flat screen or half flat screen phones.