I added a file field to a content type. When using the Media Browser to add media - "Select Media" and the "My files" tab - the submit button doesn't do anything.
I did a fresh install and the problem did not occur. I then enabled the same modules as the site I was having problems with and the problem showed up. So I disabled modules one at a time and found disabling the core "Contextual Links" module fixes the problem.
I'm currently using Drupal 7.16 and the latest 7.x-2.x-dev releases of media and file_entity dated Oct 30, 2012. I've had this problem for quite some time and know the problem exists in earlier releases but I don't know when it started.
The problem occurs with Firefox, Chrome and IE.