I used to use Dropbox for instant static hosting (experiments and such), but now they serve xhtml files only; any .html causes 404.
Today I found a staticloud.com, which provides static hosting at almost the same level of simplicity as DropBox. You just dragdrop your zipped files and choose subdomain, and after couple of seconds (watching upload bar) yoursite.staticloud.com is up and running. No ads and 1GB bandwidth per month should be enough for just about any static site.
They use Amazon's cloud. Great job!
P.S. There is similar tool: coralrift.com