Hi Cobaltowner3,
Thank you for posting in the Apple Support Communities. We understand you are unable to download and play a Family Sharing movie using your smart TV.
- Open the Apple TV app.
- Select Library > Family Sharing, then select your family member to see their content.* You can access shared movies and TV shows in the Apple TV app on smart TVs and streaming devices.
- Not all content is eligible to be shared. Content can be hidden by family members; hidden content is not available for download. Content downloaded from family members or acquired via redemption codes is not subject to Ask to Buy.
* Not all content and content types are available in all countries or regions. To share purchased content, all family members must use the same Apple ID country or region. Music, movies, TV shows, and books can be downloaded on up to 10 devices per account, five of which can be computers. Apps can be downloaded to any devices the family member owns or controls."
You'll find more information here: Share App Store, iTunes Store, and Apple Books purchases with Family Sharing
Cheers!