Recordings of Broadway musicals, and dramas. The library does not have a subscription, but you can stream shows for a monthly fee of $8.99.
The library has some plays on DVDs. Mostly plays of Shakespeare, but there are a few famous plays like Death of a Salesman as well.
You can find some filmed theatre on YouTube, but it is hit or miss. Search by the author of the play, IBSEN, or BECKETT, for example or the title of the play GLASS MENAGERIE, for example.
Also try: THEATRE PRESENTS
British webpage that pulls together streaming plays.