What are the practical and theoretical archiving problems posed by the newer parts of the Web, like social media, scientific workflows and Web services? How can the challenges of these latest developments be met, if at all? This presentation reports on the results of a workshop held at the Library of Congress under the auspices of the International Internet Preservation Consortium, where practitioners of Web archiving reviewed these questions. More information about this talk, including presentation slides, is available at http://www.cni.org/topics/digital-preservation/not-your-grandfathers-web-any-more/.