Extranet Publisher allows you to share a full website hosted in Office 365 anonymously.
Extranet Publisher is a new product from Envision IT. It is intended for scenarios where you need to publish content to a broad external user audience. They don't need to collaborate, they just need to be able to easily consume that content. This could be your public website, or a private site you want to share securely with a particular audience.
While out of the box in Office 365 you can anonymously share individual documents, there is no way to share a whole site anonymously. With Extranet Publisher you can leverage Azure websites to do this very cost effectively.
Learn more about Extranet Publisher at https://www.extranetusermanager.com/extranet-publisher.