Apple TV 4K can't find Mac media library

• Home Sharing requires that both devices are on the same home network. For Wi-Fi, that means the same SSID network name. Recommended settings for Wi-Fi routers and access points - Apple Support.
• Home Sharing requires setting the same Apple ID account for Home Sharing on both devices. Different account will not be visible/​connectable.
• On macOS Ventura, activate Mac Home Sharing in System Settings﹥General﹥Sharing﹥☑︎ Media Sharing﹥ⓘ﹥☑︎ Home Sharing.

Try it again on your computer. I jhave had this same issue for almost a month and after hours spent trying to reconfigure and reset and hours on the phone with Apple Support . . . . Voila! All of a sudden it works! Perfectly. I believe it was an Apple glitch but rather than take responsibility and say "Hey guys - we're having a bit of an issue here" they let you think the trouble is on YOUR side or your Network. I've been an Apple and iTunes user since the VERY first one but this is something about Apple I truly detest!

All of the points which you made have been verified even with Apple Support on the phone with me sharing screenshots, all to no avail so far. A very perplexing problem.

Verify that all the shared libraries on your various computers have unique library names, as that is the only way to tell them apart on Apple TV.

Not sure what else to say. It is working for me, for both older and newer versions macOS intermixed.

BTW, two older Apple computers with older OS's are visible as long as iTunes is running in the background. With OS Ventura, iTunes is not present.

That is as expected. When iTunes was “split up” with macOS Catalina 10.15, that meant that Home Sharing had to be organized a bit differently too. As it is now configured through System Settings, it no longer requires the associated application to be running; instead the system software takes care of that.

Use Home Sharing to share media from a computer to other devices - Apple Support

You are SO welcome Dennis. I’m really glad yours is back working too. I was really upset about it as I use it with playlists and an extensive photo library. I think Apple’s aim is to do away with iTunes and move users to a monthly subscription. It gives them a good capital base line.

Best of luck - LS