Food storage lids and containers drive me crazy.
Hi Marilyn! Here are some ways that might interest you! Hope this helps.
A rack used to separate files/letters might be an option for you. A lid from smallest to largest could fit into each slot.
I keep my lids in separate container in the drawer. It helps with being able to find lids. Then each size is stacked into each other.
All similar sized lids stacked and snapped together. If they have a recessed top, snap all similarly sized Rubbermaid containers into the top of the stacked lids, then store on a shelf or lazy susan.
it takes up a lot more space but I put all the lids onto their bottoms & then stack the sets by size - I also have a set of plastic containers used for canning that all have the same size lid, just different depths of bottoms, half pin, pint, quart- those have their own carousell & I do store them stacked since all the lids fit all the bottoms.