There's no full backup (like a system image) without root.
However, two things that will back up a lot are:
Kies 3, you can download this on your computer from Samsung, and then backup up quite a bit of your data there.
Helium, an app in the play store. This is more difficult to use for someone not used to it but the one thing it can do that other methods don't do without root, is save your app data such as game progress and settings, etc. If you don't care about that type of thing however, better to keep it simple and use Kies.
You can also sync some things to your samsung account and sync some things to your google account.
As for pictures, videos, documents, etc, you can either just directly copy them to your computer or you can back them up to a cloud service. etc.
Btw, when Lollipop (the next operating system) gets to your phone, you will be able to backup a lot to your google account. There is google backup and restore that you will see in settings on your phone now, which will back up apps and some settings, but it is not comprehensive.
10-25-2014 10:57 PM