Previously purchased movies are not playing on any of my Apple TV's.

Why are my previously purchased movies not working on any of my Apple TV's? They show up in the list, but will not play, but simply take me to the screen to repurchase them again, which I refuse to do. Strangely, if I start them on my phone or other non Apple TV device, I can then play it on my Apple TV. I have signed out and restarted the Apple TV and checked to make sure the ID is correct. I have also checked to make sure that the movies are not "hidden." Any ideas? This is very frustrating.