I have never really known, but what are these things named in English?

I have heard from Rora, they are called binders. But I called them folders before. Is that correct?
And these things? Sometimes they come made out of cardboard. It's mostly used for sorting customer files.
Here is an image of the cardboard version, without the elastic band to help keeping it closed:
And finally, these things:
Thanks in advance guys, since these words I have always struggled with.