A covered food container or serving platter incorporates a cover stand as part of the structure of the container. The cover may be temporarily stored on the stand while the user obtains access to the container. In one embodiment a portion of the cover is received within a suitably configured retention area formed within the container. Another covered serving container utilizes a central support extending from the platter and a corresponding support that extends from the cover, with an interlocking possible at the maximum extension of each support, thus separating the cover from the platter. A further embodiment utilizes a pair of covers, one receivable upon another to enable a nesting storage with access available to the exposed container storage area. A surface rib and groove formed in corresponding surfaces of the two covers provides stability when in the nested configuration.