How do you record high-quality streaming videos with sound on Mac's Monterey?

If you want to make high quality videos, I'd use a high quality video cam and a high quality microphone. You can then do editing with video editors like Final Cut Pro on a Mac.

If you want to keep copies of streaming videos you've watched as in streaming content via sources like YouTube, you can bookmark a link to the video.

If you mean record streaming movies, like from Netflix or Amazon Prime Video, you likely can't. They would be DRM locked from being recorded.

Youtube owns the content you watch. Youtube won't let you record it. Apple doesn't own Youtube. We users don't own Youtube.

Take your request to Youtube. We cannot help you do something restricted by Youtube.

Here is a link to Youtube's terms:

https://www.youtube.com/static?template=terms

You will note that they forbid downloads:

access, reproduce, download, distribute, transmit, broadcast, display, sell, license, alter, modify or otherwise use any part of the Service or any Content except: (a) as expressly authorized by the Service; or (b) with prior written permission from YouTube and, if applicable, the respective rights holders;

Just because it is on the internet, does not automatically give you the right to take or make copies of someone else's property.

All of it is restricted unless there is a download button by the video.

You will need to check with the owner of the videos if there are any DRM or copyright restrictions.

You don't record them. You can bookmark them. You can add them to your watch list and watch them over and over again. And the best part is they won't take up valuable space on your computer.

And now you know there is no way to record such content. So you have both sides of the picture.

If you want YouTube to change their policies, feel free to let them know by contacting them directly.

At the top right of the page, click the "Following" button.

I am not messaging you; I am posting in an online public forum.