I'm too anal about cleanliness and organization, my house typically doesn't have a drawer like this. My favorite mantra in the home, which my chronically disorganized wife is tired of hearing me repeat, is "a place for everything and everything in its place."
However. I inherited my childhood home when my dad passed away this year (my wife and I had already been living here for a few years, in a separate apartment in the house) and my dad had a junk drawer like this. As a matter of fact, my dad was extremely messy and almost every drawer in his house looks like this. It's probably the reason I'm so anal about organization in my life; having to grow up in a constantly messy home.
Growing up in this house, though, my family always had 2 drawers side-by-side in the kitchen which were always filled with random junk. They're still here. I haven't gotten to them yet. So yes, my current house has a couple junk drawers. But if I have my way, they will be organized and cleared out. If there's going to be any messy containers filled with miscellaneous junk in the house, it'll be boxes stored in the garage or basement - not a random drawer.