UCI Libraries holds thousands of DVDs (and even some VHS!), many of which are related to dance and other performing arts. Most all DVDs can be checked out by any UCI student or faculty. You can find them with UC Library Search.
After you've searched, look at the left side of the screen and use the Resource Type limiter to narrow your search to videos (see image below). This will bring up both online streaming videos and physical videos in the Libraries' Multimedia Resources Center.