A refrigeration appliance includes a refrigerated cabinet with a cooled storage compartment, a door movable between a closed position closing the cooled storage compartment and an opened position allowing access to an interior of the cooled storage compartment, the door having an outer panel and a thermoformed liner attached to an inside of the outer panel, and an ice box frame attached to the thermoformed liner, the ice box frame being formed of injection molded plastic more rigid than the thermoformed liner and defining an ice compartment therein. At least one of an ice maker, an ice storage bin, and a motor for driving an ice storage bin auger is located in the ice compartment and attached to the door via the ice box frame. A related refrigeration appliance is also disclosed.