First read this Mozillazine page
In my case the problem was that some program overwrote the registry entry HKEY_LOCAL_MACHINE/SOFTWARE/JavaSoft/Java Runtime Environment/BrowserJavaVersion
with the old value 1.6.0_01
. When I set it back to 1.6.0_06
everything worked fine again.
Now the addons window looks like
before it showed Java Platform SE 6 U1 instead