I've posted this before, but it never appears, even on Google Advanced Groups Search, so here goes for another try.
I store my Tupperware lids in a paper-napkin rack. Not one of those big square things you see in fast food places. This is a light plastic rack where you can store paper-napkins (or lids) vertically in a rack and put it on your table. They're a bit tacky IMHO, and I don't use them on a table. But I put the rack, with lids, inside a cabinet against the side wall. Holds several lids, and they are very easy to reach. Hope this helps.