The library has many recorded performances available through the streaming video sites listed below. You may also find dvds in the collection by using the library search and limiting the format to video/film.
You can also find some productions on the following sites. They may require you to register for an account and/or pay for viewing.
BroadwayHD: Stream Broadway musicals and stage plays
DigitalTheatre.com: Stream performances from leading British theatre companies