Use oEmbed with playlists/showcases

You can create embeddable playlists from the Showcases on your ZenVideo account and use oEmbed to get the embed code for the playlist. Make sure the Showcase is embeddable and that the videos contained within it have appropriate privacy settings. 

Full documentation for retrieving embeddable playlist metadata via oEmbed can be found at ZenVideo Developer Site: Working with oEmbed.