What I just found solves the problem awesomely. They are DVD storage bags from Mivi Collection. They have clear PVC vinyl sides all around so that you can clearly see which bag you need to get into. The bottom and top are a webbed nylon material and the top zips almost completely around.
They hold about 40 DVDs each, with 2 clear dividers that separate the bag into three compartments. I could be miscounting, but I'm pretty sure that I fit 42 in it snugly. Not tightly, just snugly.
The handles are nice and rugged, double sewn so that you don't have to worry about them ripping from the bag. I had no issues at all with my handles.
And in case you're wondering, the bags are totally stackable. The bottom of one fits perfectly inside the lip on top of the other. I think these are a really great way to pack away DVDs, no matter what the reason. But not only to store them away. You could also use them to transport them to camp, if you're leaving the home for a while. There are lots of reasons that you might want an easy way to carry or store movies. I chose to store them over my closet because we mostly just stream now.
There wasn't a single flaw that I found in these bags. I definitely would recommend them as a way of storing DVDs. How do you mostly watch movies?
To learn more, check out Mivi Collection on Amazon.
Except for the product(s) given to me for the purpose of reviewing, I received no compensation for this post. All opinions are 100% my own.