Hi @Zanebane83 , welcome to the Pandora community!
Thanks for posting. First, I would like to clarify that, when you listen to any content on demand (song, playlist, or album), once the content you selected ends, the AutoPlay seamlessly takes over and will start playing similar content based on whatever you were just listening to.
Pandora Premium listeners will automatically have access to this feature. However, as a free listener, you need to start a Premium Access session to listen on demand. Once your selected content is over, AutoPlay will follow.
That said, if in general you are having trouble with your music stopping when listening on your phone, it may be related to a different situation, rather than the autoplay. So, could you explain what's happening in more detail? The more information you can provide, the better I can help.
When this occurs:
Additionally, please provide both your iOS and Pandora app versions:
Let me know!