No major problems with EE here - but something is indeed up, it did keel over for about ten minutes here a few hours ago. At first I assumed it was the VPN up the creek so selected a different one, but it didn't make any difference, and on checking I found that it wouldn't even connect with no VPN in use, it was definitely an EE problem. As per your experience, it appeared to connect but didn't get as far as actual web pages.
All up and running about ten minutes later though, and hasn't failed since.