How to Fix or Recover files from Storage Damaged problem?

A

AC Question

I encountered the problem: Storage Damaged - the data partition has been corrupted. You need to reset your device to factory defaults. This will erase all your data..

Reset (button)

Samsung galaxy S3 is not booting and just displays this error screen. I don't want to press the button until I have backed-up or copied all my data.. Is there a way to do this? or fix the problem without reset?

I know this is really a big wish.. but hopefully there is anyone who can help me with this..

thank you very much!