I have similar problem, and Apple is not prepared for it, only listening to clients with appointments. My iPhone5 bougth yesterday (Serial No. F2LJD9MDF38W) at Best Buy Dadeland Miami only starts charging when it is turned off (I guess). I left the iPhone5 charging all night. This morning the battery was charged 20%, and try for several hours to make it work. No success. I went at 11AM to the store, and with the phone dead, it started charging up to 6%. Ivan Ruiz, an Apple employee at Best Buy told me to go the Apple Store, since Best Buy did not have replacement cables (hopefully this is the problem). I arrived 45 minutes ago at Apple Dadeland Mall, two employees of Apple Mike L and a blond lady (with freckles) told me I needed an appointment, so they can take care of my problem. Mike L reacted and said that he can give me an appoitment at 1PM, and had to wait one hour more. I said that I wanted the problem to be solved now. Chris Gomez jumped into the issue and help me with a replacement cable, but reminding me I should buy Apple Care, since many thing could go wrong with phone. I refused. I am now charging my iPhone5 at Apple Store. I hope this is the real problem. I have been a satisfied BlackBerry user for almost a decade, and I tried to make the change to iPhone5 yesterday. Let see if I stay with it.