If any of my ebook reader cases had pockets, I've never noticed them.
The cover for my NOOK HD+ tablet has a
vertical side pocket that I noticed just recently; I stuck the receipt with the due date for the kids' library books into the case and saw later that there was a pocket that they could go into. It's perfect, because I can have a bit of the paper showing to remind me they are there but is big enough to secure them so I don't have to worry about them falling out.
(The description of the case on the website describes additional pockets that are neither in the picture nor on my case. I like the cleaner design without them.)