One thing about being organized is that you know exactly where the item you are looking for is, at the time you need it. This is exactly what happens with an organized drawer, but it is usually not the case with a junk drawer. It is just too easy to just dump items in drawers, because they are out of site. Over time, as this dumping continues, the drawer becomes an absolutely disorganized mess -- hence the term, "junk drawer".
Drawers should never be stuffed with gadgets and utensils. They should be purposely organized, storing items that are easy to access. Your drawers need to be labeled with a name besides "junk". They need a real purpose like: utensil, silverware, knife, office accessory, and so on. Everything in the drawer should be used on a regular basis (at least once every two to four weeks) and should be easy to access.
Drawer Shelf
The items that are left in the box are either duplicate items (you couldn't find it previously, so you bought it again) or items you don't need. In other words, what's left is probably the "junk" that was in your junk drawer.
Now you need to decide whether to get rid of these items, or to keep them in a different location. Be realistic here: if you didn't use these items in a month, you probably won't use them at all. Act accordingly.