I just used it, and it works very nicely. It's Firefox add-on, not like standalone Mozbackup, and it doesn't support Thunderbird, but regarding Firefox, it has much more options, including scheduled backup. You don't even have to close Firefox, like with Mozbackup.

http://www.pcworld.com/downloads/file/fid,68994-order,1-page,1/description.html?tk=nl_ddxdwn

Quote

Backup or move all of your Firefox settings with this invaluable little utility!

These days, many of us have built a small world into our browser--a world of bookmarks, visited links, stored passwords, and form DATA. LOSING that can be CATASTROPHIC, and moving it can be nightmarish. The Firefox Environment Backup Extension, or FEBE, promises to eliminate that nightmare.

FEBE is trivial to install, and, once in place, needs only a save directory specified before it can do its work. Incredibly rich in options for such a seemingly simple program, it allows the user to do everything from setting scheduled backups to creating custom backup configurations.

The program works, it is nonintrusive, and it performs a very useful function with very little hassle. Anyone who uses Firefox for anything but the most casual of browsing would do well with this program.

Note: This link takes you to the vendor's site, where you can automatically install the file into your browser.