What, me worry?
That's pretty much my setup right now, I find they don't seem to really sell those nice mini drawer systems here. There are some but they are kinda crappy.
I saw a few youtube videos of carpenters that made their own modular drawer/box systems with plywood, I want to eventually do that. I will make various jigs and tooling to make them easy to make, and just make a bunch. The nice thing with something custom is you can repeat it. Anything you buy these days, they only make it for so long then you can't find the same kind anymore, so it's hard to have a consistent system.
I would use this not just for electronics but pretty much everything. Like screws. I have screws all over the place, and there is pretty much no organization whatsoever. Could inventory them in software too, and have full datasheets. In the box/drawer I would also store a small piece of paper of the most important parts of the datasheet, like voltage/amp/watt rating, of whatever the item is. And the pin out.