I have used Sound Juicer on Budgie for ripping some Audio CD's. It was quick easy and uncomplicated you can Install it from the Software Center too. I ripped them using .flac so it gets all the track metadata but you will likely know more about this stuff than I do. 
I do know that WMP would not play the .flac's though 
I have not ripped any DvDs so can't offer any insight on what would be the best software for that.
Ripping Media
MakeMKV is free for DVDs and trial for BDs
https://www.makemkv.com/download/
There is a linux version also
(The program is very similar to ImgBurn)
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WetGeek Exact Audio Copy via Wine. Not joking.
k3b says I need to install "transcode". same problem as here: https://discuss.getsol.us/d/3152-k3b-says-it-needs-transcode
funnily enough, it seems VLC can rip DVDs! giving that a try now.
synth-ruiner funnily enough, it seems VLC can rip DVDs! giving that a try now.
I thought I'd read that somewhere, but when I looked, I couldn't find anything in the menus about ripping.
Have you tried it by now? Do you know whether it will also do Blu-Rays?
synth-ruiner you're right. I found this too. It's not in the repos. But actually ripping to .iso with K3B and transcoding to .mkv (or whatever) with handbrake is totally fine I found. You can batch process each end if your the organised sort and handbrake give do much more control over letterboxing and subs which was vital for me.
vyzle But actually ripping to .iso with K3B and transcoding to .mkv (or whatever) with handbrake is totally fine I found. You can batch process each end if your the organised sort and handbrake give do much more control over letterboxing and subs which was vital for me.
Had to really make a pro web quality dealio today. This is a great repo package, I use it for what it's meant for: DVD snippets. I don't think it has anymore than that to offer but inside of that, the math is limitless for composing those snippets.
WetGeek I thought I'd read that somewhere, but when I looked, I couldn't find anything in the menus about ripping.
Have you tried it by now? Do you know whether it will also do Blu-Rays?
It's under Media → Convert / Save. I tried it out but it was pretty clunky - I initially accidentally recorded hours of a looping menu intro. I had to figure out which exact title/chapter to rip, and it kept silently failing. No idea about blu-ray.
vyzle But actually ripping to .iso with K3B and transcoding to .mkv (or whatever) with handbrake is totally fine I found.
I had no idea Handbrake could deal with ISOs - good to know! I've found another solution for now but I'll remember that in future 
synth-ruiner I've found another solution for now but I'll remember that in future
Me, too. I have a great utility called Leawo that does a fantastic job of Blu-Rays, and I have a lifetime license for it and all its features, bought years ago and still valid.
Problelm is, it's a Windows program. I can load my Windows 10 SSD into the workstation that has my Blu-Ray disc drive in it, and that's what I did this time. I was hoping for something in Linux, so I wouldn't need to shut down Solus to load Windows, but even that's not the end of the world.
With Leawo, ripping a Blu-Ray disc is as simple as ripping a DVD with other programs. And, by the way, it handles DVDs and CDs as well. If you have a need, and also have a Windows machine available, I recommend it highly. I would only change if there were a Linux program that's equally effective and easy to use, but so far I haven't found anything.
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As Jumpy said but it's on flathub also which may make install a bit easier.
https://flathub.org/apps/details/com.makemkv.MakeMKV
https://www.makemkv.com/forum/viewforum.php?f=3
This one seems to be recommended by a lot of the techies. It does have it's own Linux OS forum but not sure about all the pro's and con's. It will probably require you to get your hands dirty though 
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I tried to use k3b for the first time to rip a CD I just bought, with mixed results. On the good side, the sound quality was excellent, the ripping was quick, and the results ended up where I wanted them on a remote Music share.
On the bad side:
Every track came out as "unknown", and the album name was "Unknown-unknown." And yes, I did click on the [Load CD Info] button in k3b, but it had no effect at all. Is this a bug in this version of the tool, or is there some way I can get k3b to read the album and track names for the CD that it's ripping?
EDIT: What I can't understand is, how k3b can know the number of tracks on the CD and the playing time of each track, but not the names of the tracks or the name of the album. And it's done the same thing on both my workstation and my server. And "Read CD Info" does nothing at all on either machine. To my mind, that seems to rule out hardware issues.
In order to get the CD ripped to my Music share, I had to resort to the Windows Media Player, which did so with high quality, quickly, and thoroughly. As a Linux believer, that really offends me.
WetGeek I would try this https://www.freac.org/downloads-mainmenu-33 been using it for years works good
for me never tried it on Linux though.
6 days later
bigrammy One of the big pros of makemkv is the fact that it handles multiple angles (often some small segments of the video are rendered showing some sign with some text for different languages). Most software stumble at this resulting in out of sync audio because length of audio and video do not match - So trying to tweak offsets does not help.
I like it pretty simple.
That's why I scrapped MakeMKV altogether as soon as I had tested it, well, I should say: As soon as I got it installed.
That took ages and is a very complex procedure. (I had inquired about how to rip DVDs in this forum.)
I use K3b also, for CDs first of all, and after someone pointed me to it also for DVDs:
They are ripped and saved as an "iso" but you can play that iso file as if it were the DVD - from your hard drive.
Fab!
With Blu Rays I have no experience but then I don't have no Blue Rays and no BR player either, so no need for that format.
(For copying CDs I use Brasero, plain and simple.)
WetGeek From an ebook I am currently reading:
Audio CDs consist of a sequence of music tracks in a digital format called CDDA-WAV. They were designed to be played by very simple consumer-electronics devices a few years before general-purpose computers developed enough raw speed and sound capability to decode them on the fly. Because of this, there is no provision in the format for even simple metainformation such as the album and track titles. But modern computer-hosted CD players want this information so the user can assemble and edit play lists.
Enter the Internet. There are (at least two) repositories that provide a mapping between a hash code computed from the track-length table on a CD and artist/album-title/track-title records. The original was cddb.org, but another site called freedb.org which is probably now more complete and widely used. Both sites rely on their users for the enormous task of keeping the database current as new CDs come out; freedb.org arose from a developer revolt after CDDB elected to take all that user-contributed information proprietary.
Jumpy The original was cddb.org,
Interesting. After my original toe-in-the-water, I found out about the Asunder utility. It will extract all the info from a CD, or as little as you need, and automatically uses CDDB to locate the album and track information. It will optionally create a playlist as it extracts. It offers a broad choice of encoding, works smoothly, and quickly, and doesn't require any effort from the user. And it's in our repository.
WetGeek This is the way.
5 days later
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WetGeek I've always used asunder. If you want to include CD/album covers for your rips, or need to modify the tags, easytag is a joy to use.
One other thing about asunder...one of the things that I really like about the program is being able to rip to multiple formats at the same time. I like to rip to flac for archival purposes and mp3 for everyday use.