Favicons are those little icons that usually are located next to the address bar on the right hand side of your Firefox web****browser.
NOTE: Been tested and tried in Firefox 3.0.12 but should work in all different versions of Firefox.
Answer:
Open Firefox
In the address bar type in the following ‘about:config’ and hit enter
Search for ‘browser.chrome’ by using the filter option.
Now two options will appear ‘browser.chrome.favicons’ and ‘browser.chrome.site_icons’
Double click on each of these options to set them to false.
Restart Firefox and no favicon will appear again.