Both senior and caregiver should enjoy a trip to the Anthology Film Archives. The building houses the greatest collection of avant-garde films and videos, and has an extensive collection of paper material relating to independent and experimental cinema. They provide senior discounts and offer regular moving screenings, so check their calendar to see what is being shown.
The New Museum is one of the few facilities in the world that is dedicated to contemporary art from around the world. They offer public, guided, and self-guided tours of exhibits. Be sure to check their calendar to see what exhibits will be on display before you take your trip. The museum offers assistive listening devices and is completely wheelchair accessible.