Yes! There are two databases, Films on Demand and VAST-Academic Video Online, that can be used for streaming ballets online.
Navigate to these databases through the Butler Library homepage, through https://libguides.butler.edu/az.php or the Databases A to Z link on the library web page, then in the databases by subject, select dance.
When using Films on Demand, it has similar search features to WorldCat Discovery. You can use the filters on the side of the page to limit what content you are searching.
VAST offers the same limiting features as Films on Demand, but it allows you to refine your search even further within the dance realm.
