A stacking arrangement for simultaneously stacking plural food filled plates and beverage containers together for use in microwaves and refrigerators. Hollow rings with outwardly sloping sides each having side oval through-holes and upper edge grooves are placed on food filled plates so that the plates can be stacked on top of each hollow ring. A cover with outwardly sloping sides has a handle with a lid and through-hole adjacent to the handle covers the top food filled plate in the stack. The stack can be placed in a microwave, heating oven, refrigerator or freezer. The through-holes in the rings and the cover act as vents to allow heat to be evenly dispersed about the food and to allow the food to be more evenly cooked when being microwaved. The cover and rings can be made of microwaveable plastic such as polypropylene. When not being used the rings can together be inserted into the cover for storage. The cover can include separate indentations for storing uncovered food plates thereon, or beverages thereon. The separate indentations can include perforations for venting air therethrough. The indention(s) can include a water layer that helps prevent scorching and burning of food, plates, rings, and the lid when being used in high wattage microwaves. The cover or the cover and the lids can include internally facing protrusions on the lower edges for allowing the rings to be held within the cover when the cover and rings are not being used.