During the current period three YouTube Channels are broadcasting entire theatrical shows for free. They generally start at 7PM BST on certain weeknights but the videos will remain on the channels for 7 days afterwards before being taken down as something else is uploaded.
Shakespeare’s Globe Theatre: Performances of Shakespeare’s plays, at Shakespeare’s Globe theatre in London, done in the theatrical style used in his time.
So far: Hamlet, Romeo and Juliet, The Two Noble Kinsmen.
The Show Must Go On: Performances or film versions of Andrew Lloyd Webber’s musicals.
So far: Joseph and the Amazing Technicolor Dreamcoat, The Phantom of the Opera, Jesus Christ Superstar, Love Never Dies, Phantom 25th Anniversary concert, By Jeeves.
National Theatre Live: Usually you have to pay to see these broadcasts in the cinema. Performed by the Royal National Theatre in London.
So far: Twelfth Night, Jane Eyre, Treasure Island, Frankenstein (both versions with Benedict Cumberbatch and Jonny Lee Miller alternating the roles of Victor Frankenstein and the Creature), Anthony and Cleopatra.
The lists I’ve provided, of what have been shown so far, are by no means conclusive. They are only the ones I know have been shown recently. There are many clips on the channels if you wan to check out other productions by the organisations and, at least for the National Theatre, interesting ‘behind the scenes’ videos about the production process.
The organisations offer these broadcasts, for free, in hope of donations to support the theatre community.