Why are some purchased movies in my AppleTV library not playing on Apple TV?

Some of the movies in my AppleTV library just show a black screen with no audio or errors when I try to play them. Other movies I bought from Apple continue to play as usual. There doesn't seem to be anything different about those movies. Some I bought at the same time will play while others bought at the same time won't.

My Apple TV has the latest OS. I have rebooted. The AppleTV is connected by ethernet, so the problem is not wi-fi signal related.

The only way I have found to play the movies is to exit my library and go to the "Search" function of the AppleTV app. When I find the movie, its info shows that I have already purchased it. I can play it from the search results, but not from its icon in my library.

[Re-Titled by Moderator]