This all probably started with an update to Adobe Flash Player.
The Adobe download site makes older versions of Flash Player available which means they know there are compatibility issues.
As
stikiwikit mentioned, removing Adobe Flash Player will get Internet Explorer working.
Odds are pretty good, some of the ads on this site won't work with the most recent version of Flash Player which is why removing it 'fixes' the issue.
If Flash Player is uninstalled, this site will prompt the User to Allow the add-in 'Adobe Flash Player'. If 'Allow' is clicked, it doesn't actually do an install, just runs the Player that it wants which is probably an older version.
Probably the only real fix is for ECCIE to only allow advertisers who use recent versions of the Player, to advertise.