Wouldn't a solution be to have the opening on the side and pull it toward you, like a "box on wheels"? As long as the sides of the "box" are thermally insulated, it seems like a sound solution for the stated problem (but certainly not one that's mechanically the cheapest/simplest).

A friend suggested a bottom-hinged door like that on a garbage chute, though well sealed, and as wide as the fridge, so the sides of the door don't get in the way of storing long objects in the fridge.