Hi neighbors! At this time Ring is compatible with Fire TVs that enable users to add the Ring skill to. We have found that the Fire TVs are compatible with this, as well as varied models from other manufacturers if stated in their documentation. For example, check out samsung's support page about this integration with them.
In regards to other TV models, like LG, while there may be an app or Alexa operation, the model might not support Ring or the Ring skill. This is best checked in their support articles. Of course, we are always working to add and improve on our devices and features. Feel free to add this as a feature request on our Feature Request Board, which we frequently share with our teams here!