Pancake.io - Publication platform(host) for static sites
Dbxlr - Free Dropbox website hosting. Dbxlr uses your direct download links to host your websites.
StaticDeploy - An Open-Source Platform for Deploying Static Apps.
Netlify - Build, deploy and host your static site or app with a drag and drop interface and automatic delpoys from GitHub or Bitbucket
duet.to - Hassle-Free Dropbox-Powered Web Hosting
Site44 - Site44 turns Dropbox folders into websites.