I had this same problem last week after the Windows Updates from March 11, 2014. My site was ASP.net web forms running ssl and pages all of the sudden started to hang not not respond. Shutting down the browser would fix the issue, but it would soon come back after trying again. Updating the Java engine did not work for me and when I used Fiddler, the problem went away and the site worked fine.
The problem turned out to be mixed content between http and https. There was an iframe in the master page whose source was set dynamically based on the user's request, however, when the iframe was not set, the default for src was "/" which went to the root of the website. On the production server requests to the root were redirected to another website altogether, that was non-ssl. This caused a mixed content situation in IE and IE was not showing the prompt to the user to allow mix content, it would work once or twice then hang.
I changed the default src for the iframe to a specific page within the site and everything started working.
What I recommend would be to make sure that there is no mixed content on your site.