Up until Saturday 13thFeb 2016 my Lumia620 has been working fine. No problem syncing emails at ntlworld.com or gmail or outlook. I've spent the last 4 days trying to fix this by searching for and then applying fixes. Nothing works so I now have just a stupid phone for texts and calls.
The error codes seem to offer no real hope. On my ntl account it reports "were having trouble downloading messages. error code 80072F30.
On my outlook account it reports error 80072EFD and my Microsoft account reports error 800704CF.
In settings > wifi it shows me connected securely to virginmedia. But IE will not display pages and Spotify tells me I am offline. The settings > Phone Update shows "There was a temporary issue with the server or your internet connection during the update" error 80072ee7
I have tried soft resets and now 3 full hard resets, the final one not using the backup to recover. I've stopped auto Date/Time and entered manually. I've cleared IE browsing history. Backup and Find my phone options are all enabled and I've signed in to my Microsoft account and profile looks fine. I've tried switching off wifi, soft reset then switch on, all to no avail.
I'm really sorry that you're having issues with connecting to the internet on your phone. I want to get this sorted for you. Are you able to let me know if you have the same issue on Mobile Data? I want to try and pinpoint the issue.