There are many sites that host public repositories of code.
Examples
Are there similar sites that allow coders to store and manage fossil repositories for free?
I dont know of any, but its so easy to set up your own on any bit of hosting space you have access to that its less important than for other scm tools.
Link here to a tutorial I wrote on setting it up.
It seems Fossil is available on Sourceforge:
http://tkoutline.sourceforge.net/cgi-bin/fossil/wiki
Though it's not clear if this is an official installation. It's within SF.net allowance to host custom CGI scripts, but a admin maintained installation would be nicer.
Even though setting up a Sourceforge entry is probably overkill for small projects (what Fossil targets), this seems a sensible project hosting option. If Fossil is not officially supported, we should lobby for it to become that. Most likely BerliOS would adopt it, too.
I just launched a fossil hosting solution over at http://chiselapp.com It's still in alpha but supports a number of things already. Feel free to let me know what you think.