I share your problem with deep pan drawers. The drawer box is really shallow, but the drawer face is deep, obviously so that you can fit pans in. But if you don't have pans there (I can't waste one of my only drawers on pots and pans!), then it has to work as a junk drawer, utensils, all the other stuff that normally goes in drawers. But it's too shallow for that, and stuff always falls out the back.
I've tried to find some boxes that would fit almost exactly and not slide around or waste space at the edges, but so far I'm stuck.
Other storage solutions - I've got one of those baskets from Wilko's that hangs under a cabinet, and it's been so useful for paperwork and stuff. I've also got a wooden ikea file holder screwed to the inside of one of the cabinets for rolls of foil etc., because the shelves don't go right to the edge and it's wasted space otherwise.
My problem is a deep corner cabinet that is hard to reach the back. It didn't come with one of those pull out devices, and I'm not sure about getting on fitted now as I know it would use up some of the available space, but at the same time, it's hard to see or get at what's in there now.
I also have gaps of about 1.5 inches above the dishwasher and washing machine, where I currently store baking trays. however, they slide around as the machine is used, and can be hard to get out. I'd love to find some kind of giant very very shallow drawer/box to put up there to keep flat things in.