Storable exterior lift cover systems, apparatus, devices, methods, etc. are configured to be used with a lift device or the like (such as an exterior lift that raises, transports, stores and lowers mobility devices like scooters, power chairs and the like) mounted to a motor vehicle using a trailer hitch or the like. A covering apparatus has a foldable frame that can be unfolded to allow a pliable cover to extend over the lift platform and any cargo. Retraction of the cover and folding of the frame compactly configures and stores the cover apparatus, for example between the lift platform and a motor vehicle to which the lift is secured. Embodiments of the storable exterior lift cover permit easy deployment and storage of a cover that can be reliably transported externally in its deployed or stored configuration.