Haven't tried to organize bobbins (need to though), but this is what I store my threads in(mostly floriani and r/a). All my cotton threads go in the bottom of it. Before I got this, I stored threads in a scrapbook container (4 of them) and had to take them all down from shelf when I needed a certain one). This works wonderful for me and I can just scoot my chair over to it when I need a different thread. Got it online from Sam's.
Also keeps the dust off.