'Cache-misère' must be one of my favorite french words. It literally means 'hide-misery' and I probably love it so much because it's a very accurate way to describe how I tidy up things: Put them all into something and then firmly close the door.
If the situation calls for it (too much weight pressing outwards, from inside the doors, for example), barricade said doors.
The downside is that I usually can't find what I'm looking for. On the upside, it's easier to clean when everything is off the floor and shelves.
Also, burglars sneaking in to look for things to steal will immediately conclude that there's nothing there and leave again. No harm done.
In the case of cache-misère shown above, they are handmade from the pattern for CD Holders in this Amy Butler book. The bathroom environment seemed to call for plastified fabric, which makes for rather stable boxes but is a little bit awkward to turn inside-out once you got the lining in place. It actually took quite some strength and even more patience.
Did I ever mention I'm better with strength than with patience? No? Well, here's a tip: Don't use too much strength on this project, or you might rip it apart. A bit. And then you'll have to start all over again.
But exaggerated height (like anything above five foot five) has never been one of my problems.