I use the system from Container Store. It's expensive and time-consuming to set up, but worth it for the saved space. I don't use the flipper tray. I store my filled sleeves in the Container Store's tall shoe box as suggested by one of the reviewers. Because the box has a lid, it keeps the whole collection dust free and makes it easy to move to dust the shelves.

Do an image search on "dvd holder" -- there are so many choices available.

There are several items but I have two in mind, one is a very slim ( taking very little wall space) and tall but fits so very much on the many shelves it has; and easily accessible and the other option is to have storages boxes- I have both these and bought them at affordable prices from Ikea.

For CD's you can actually rip them and store them on a network attached storage device. That'll save you a bunch of space. I ripped over 600 CDs a few years ago and saved them on our NAS device. Then you can stream the music from that storage device. We use Sonos speakers, and stream our music library from there. Another plus of ripping/saving is that I downloaded hundreds of the CDs to my ipod mini for running. We did save the actual CDs and the cover art, but they are in a box in a storage area.

Regarding DVDs, we had some drawers built underneath the TV area, and they are in those drawers. I want to rip the DVDs too, but haven't figured out how to do it yet. And I don't know if they will play on our TV from the NAS device, or if there's an external drive I can plug into my TV to play them. It's on my to-do list.

Most people don't buy CDs and DVDs anymore because of streaming. But I didn't want to throw them away.

I also find it curious how vinyl has gotten so popular lately. My 16 year old and 23 year old are getting so into vinyl records! Like a backlash to streaming.

Get a Spotify account. Confirm that all of your CD music is on Spotify. Save the one CD that isn't. Give the rest of the CDs away. Give away all DVDs. Any time you think of a movie you want to watch again, stream it from Amazon, Hulu, Netflix, or Disney etc.--or purchase it digitally. Life and storage solved :) This is the small, attractive storage space for all of my music and movies

Sadly, not all music and movies are available on streaming services. Also, many DVDs have secondary tracks with commentaries and I've yet to find any of those available on a streaming service.

Plus, if you live far out, streaming isn't really available.

I made this out of 1x16 red oak and some 4.5” x 4.5” angle iron. Doesn’t take up much space and looks nice. Super easy to build too. Would work perfect for CD’s as well.

I think that one casualty of getting rid of the cases that the CDs were in is that you are getting rid of the cover art. Some of that can be quite intriguing and beautiful. I have nothing to play CDs on anymore and don't have a clue how to get them into some digital storage. I got rid of a lot of the cases but still have Cds that I can't use. So. I just use Pandora to listen to music.

Too much digital updating hurts my old brain!!!!

It's easy to rip CDs and store them on an external storage device, but if you want to listen to them over something like Sonos, it works better if you rip them and put them on a network-attached storage device. Look, I'm a 55 year old English major who is not tech-smart, and even I was able to do it. As far as the DVDs go, I haven't been able to rip those, or figure out how to play them from a storage device. We still bring a folder of DVDs and players in the car for the kids during road trips and we still have a DVD player. We do save the cover art and the actual CDs.

There are bookcases that are made to be pretty much the depth of a CD or DVD, or if you have a deep bookcase, you could potentially store the discs you don't need to access as much behind the ones you want easier access to (you just have to remember what's behind what when you want to get to the back ones).

There are also acrylic CD organizers you can use. Or you can even just stick them in a sideways storage bin ...

Okay, the top right corner of the bin is messy, but just don't stuff crap there like I did.

Extra bonus of this is that It adds division to the shelf and works kind of like bookends, too.

You could also buy slimmer jewel cases for the CDs and move the pamplet with the art and info into the new jewel case. That would allow you to store more CDs in the same space. Actually, there's a some in the messy corner of my bin pictured above (on top of the Hoyle Card Games disc) ... those are blank CDs, but you could probably get just the cases. There are three of them in there, but I think the sleeve originally held five to give you a sense of how much less space they take up.

Home Depot on-line has a lot of options, and some of the cabinets are quite attractive. Note that with the shallow depth of such cabinets, you should plan to buy an angle iron and screw it into a wall stud to avoid tip-over:

Home Depot Cabinets for CDs/DVDs

I believe IKEA, Wayfair, Ovestock et. al. have similar options.