This tip from The Kitchn demonstrates an efficient way of storing those troublesome pot lids, by making use of unused space under the cabinet. All you need is to screw in a couple of hooks:



Obviously, this "flying saucer" arrangement won't work if you have under-cabinet lights or mount your knives under the cabinet. That can easily be solved by simply storing the covers on the inside of cabinet doors with hooks or with a towel rack.