my SIII used to be able to transfer data via usb to my computer. win7 with kies on it.
now, no matter what usb cable i use, the phone will beep when i plug in a cable but win/kies can't see it, there is no message on the phone i plugged in either, just that annoying beep.
Make sure the phone is in MTP media share for usb. Try another USB port on your computer.