Making things more vertical is always good. Find ways to hang things on walls or put up shelves. Accessory items (necklaces, scarves, sunglasses) are good candidates for hanging up. You could even hang up some commonly used cables for easy access. You can buy things to mount with lots of hooks, or just hang stuff on pushpins or jumbo pushpins... or hang up some sort of rope-y thing and hang stuff off of that.
You could consider IKEA cube storage units (KALLAX)... there can also be versions of these at other stores. You can even stack one on top of your dresser. (be careful it won't fall over and crush anyone). IKEA has inserts that fit perfectly into their cubes to add drawers or subdivide into two smaller shelves. You can also get cube shaped storage basket things that fit in this style of furniture.
Check out storage containers geared towards people who do arts & crafts, you can find some interesting storage options there ,particularly if you have a lot of small items to sort
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