The Firefox development team is well aware of this and is currently experimenting with several ways to predict what you may want to do when you open a blank tab: a search, check a recently visited tab, a new web feed item, or just one of your favorite sites.
Tracer, is a Firefox extension developed by Sudhir Koneru, that takes and extends Google’s approach introduced with Chrome a few weeks ago: it presents thumbnails of the most recently and frequently visited sites (served by ShrinkTheWeb.com), along with a list of recently closed tabs.
It also adds Opera’s Speed Dial to the mix with a Stickies page where you just add (typing web addresses, gulp!) your favorite sites.
The last page is for customization: set the number of thumbnails and its size, and you can also use a different thumbnails provider like websnapr or thumbalizr if you wish.
The result is a very clean, and helpful dashboard to continue your browsing. For me, just add a small list of all currently unread web feed items and I’ll be done.
Being a very first release, it is not surprising to fin a few caveats like it not remembering the selected page the next time I open a new tab.
Tracer is available at Mozilla Add-ons, but you will need an account to download it as it labeled as experimental.