If you navigate to the "Movies & TV" section of the NOOK shop on the website (mouse over "NOOK" at the top and select "Movies & TV Shows"), the top option in the navigation pane to the left side of screen is "My NOOK Library". Click it and log in to see the movies on your account and stream them.
The streaming player runs on Silverlight, so Windows and MacOS only, unfortunately.
If you sign in and go to my account and scroll to the very bottom of the page, you'll see all your digital content. The last one should say my digital library. Click on that and it should tke you to your video library.
Well, I found the links, but no videos show up through my digital library. When I access my video library through "Nook/Movies and TV/Video Library" the first 3 pages out of my 23 pages of videos can be accessed, but when I click to turn to page 3, all video images disappear.
If I click on "watch video" on any of the movies on the first 3 pages", the browser freezes up when the "Pop-up notification" asking to allow Microsoft Pen and Touch Input" to run appears.
Looks like there are still some glitches.