That site works for me so I tend to agree with you it isn't that web site.
But I see on that first page there is a flash video that loads immediately. Adobe Flash gets installed once for all browsers and so it isn't a browser specific software. That might mean that your problems are with your Adobe Flash player installation, even if it works on other sites.
So, there are a couple of things you can try;
1] We know there is a setting in the browser window that we can disable and this sometimes helps. Go to http://www.adobe.com/software/flash/about/ and test your Flash Player installation.
Even if it works i would change one setting. Right click the animation and select Settings. Disable the "Enable hardware acceleration" option. You only have to do it once and not in all browsers.
See if that helps.
2] If not, uninstall Flash, reboot the computer, (to confirm the uninstall), then reinstall it.
To do that, go to http://helpx.adobe.com/flash-player/kb/uninstall-flash-player-windows.html to download Adobe's Uninstaller file, then run that.
Reboot the computer then visit http://get.adobe.com/flashplayer/ to reinstall Flash. But BEWARE, that web page ma also have an option to install some 3rd party software like McAfee. If you don't want that, remove the tick before proceeding.