Dometic Fridge with World Logo
There is a '63 Dometic Refrigerator on eBay, item number 271043987456.
I don't know the gentleman, but he seemed quite reasonable. I asked if he'd be willing to sell the door only -- he would. It measures about 35 1/2" by 22 1/2" and he'd ship just the door for $25 to the Northeast. YMMV.
I was thinking about trying to fit it on a newer fridge, but the size is wrong for me. Hopefully it will work for someone else.
Whole fridge is available, but sounds untested.