Well, sorry the hard reset didn't do the trick.
I was going to suggest that you call Apple, but they will tell you to do a complete Restore. I understand you want to access the videos on your phone and of course when you do a Restore everything will be gone, but if you put your last back up back on the phone everything, maybe including the glitch, will be put back on the phone.
It's worth a shot though. Back up your current info if you haven't already and then do a Restore and put your back up back on the phone and see if the kinks were worked out.