Storage container and container system

A storage container system has a plurality of container bases and lids. Each base has a bottom, a continuous side wall extending up from the bottom and terminating at a top edge, an interior storage space within the side wall above the bottom, and an open top bounded by the top edge. Each lid has a main panel section, a perimeter skirt around the main panel section, a top side, and a bottom side. Each lid is configured to close off the open top of any one of the plurality of container bases by connecting a part of the perimeter skirt to the side wall near the top edge. Each lid has a first connecting structure with a lid-to-lid component and a mating lid-to-lid component. Each lid-to-lid component is configured to connect to the mating lid-to-lid component on any other one of the plurality of lids to connect any two of the plurality of lids together. Each lid also has a lid-to-base component, which is part of a second connecting structure and is different from the first connecting structure components. Each base has a mating lid-to-base component of the second connecting structure. Each lid-to-base component is configured to connect to each mating lid-to-base component to connect any one of the plurality of lids to the bottom of any one of the plurality of container bases.