A container for storing or delivering a consumable liquid or semi-solid to an animal, such as a human or domesticated pet, includes a receptacle for holding its contents and two or more openings. At least one opening is an elongated opening formed in the side of the walls of the container to allow lapping or licking of the contents by the animal, when the container is laid on its side. The opening in the walls is covered by a corresponding cover, which is affixed using adhesives, mechanical devices, or a combination thereof. The cover prevents spilling of the contents when in place. The container is manufactured so that the opening in the walls can be opened by manually removing the cover, either partially or completely. The cover may be reattached to the container using a fastening technique or device.