Looking for sign language-interpreted arts and cultural events in NY City? Hands On, a New York-based service organization, provides accessibility to arts and cultural events for the Deaf and hard-of-hearing community. It offers interpreters for Broadway and Off-Broadway shows and a monthly cultural calendar of accessible events.
For example, the Metropolitan Museum of Art provides some gallery talks each month in sign language and offers occasional tours of the collection in sign. The Museum of Modern Art (MoMA) has Interpreting MoMA, a program for Deaf adults that begins with a wine and cheese reception, followed by a sign language–interpreted or voice-interpreted private gallery talk focusing on one of MoMA's special exhibitions.
Or you might want to catch a performance by the New York Deaf Theatre.