I thought it worth mentioning the new one that is streaming now, as of 2 PM ET. I've actually written about this in the past. It's their adaptation of Frankenstein that stars good friends Benedict Cumberbatch and Jonny Lee Miller (who like Cumberbatch also played 'Sherlock Holmes' in the CBS series Elementary). And it's directed by Danny Boyle who directed Slumdog Millionaire, Yesterday, and Trainspotting, among others. But what stood out most about this production is that every other night Cumberbatch and Miller switched playing the roles of the Doctor and the Creature.
What they will be doing for this streaming is that the version with Cumberbatch as the Creature (and Miller as the Doctor) begins streaming today for a week -- and the version that features Miller as the Creature (and Cumberbatch as the Doctor) will start streaming tomorrow (Friday) for a week, so you can see both, if you're so inclined.
I saw the production with Jonny Lee Miller as the Creature and Cumberbatch as the Doctor. It's wonderfully done, vibrant and very interesting. But -- the adaptation takes a few liberties with the original story I didn't care for.
Anyway, here's the link to the NT Live streaming page, where you can find both versions. Know that while you can watch this online, if you have a Smart TV you can watch the production that way through a YouTube app or via the NT Live YouTube page in a browser.
And this is the trailer for the original production itself. You'll notice that it edits both actors back-and-forth in the two roles.