Apple Music offers thousands of music videos, but they’re not easy to find. There’s no tab for videos in the Apple Music section of iTunes. Videos show up in a lot of different places. Here’s where you can find them.
You can start by visiting the Browse tab of Apple Music. If you scroll down a bit, you’ll see Hot Tracks, New Releases, then Videos. Browse what’s on the screen, then click See All to see the most popular new music videos. (I discuss iTunes here, but you’ll find videos in similar locations in the iOS Music app.)
If you scroll down on this page, you’ll see more videos, but you can’t sort these.
If you search for an artist that has videos available, you’ll find a section on the artist’s page with their videos. Scroll down to Top Videos, then click See All.
You can add any videos you want to your library, if you are using iCloud Music Library. Right-click or Control-click on a video and choose Add to Library. Videos you add will display in the iTunes sidebar (see this article for more on organizing the sidebar.
It’s a shame that videos aren’t grouped, for times when you want to watch music rather than simply listen to it. A single Videos page, with links to the top videos, genres, etc., would be useful.