There's a simple embed functionality with basic CSS styling you can easily override on your own site.

You can either list the most recent four playlists for the entire site or for a specific user.

For showing the most recent playlists on Shared Playlists copy and paste this code:

<iframe frameborder="0" src="https://www.sharedplaylists.com/widgets/playlists/recent" height="620"></iframe>

For a specific user (here the user 'wulffeld'). Substitute 'wulffeld' with the username you wish to use:

<iframe frameborder="0" src="https://www.sharedplaylists.com/widgets/playlists/recent?user=wulffeld" height="620"></iframe>