There's the well-known film based on a play, "Children of a Lesser God," about a teacher of deaf children who falls in love with a deaf woman who refuses to learn to speak or lip read. Incidentally, it has a brief appearance by Linda Bove, the signing woman on Sesame Street.
Then there's the touching drama "Dear Frankie," set in Scotland. A single mother writes letters to her deaf son Frankie, pretending to be the boy's estranged father. When Frankie believes his dad is coming to their town on a merchant marine vessel, the mother looks for a man to pose as the boy's father for one day. It's surprisingly heartwarming and poignant.
As for blind people, try "A Patch of Blue," a classic film from the sixties with Sidney Poitier, Elizabeth Hartman, and Shelley Winters. A young blind woman lives with her drunk and abusive mother and grandfather. In a chance meeting at the park, she befriends a black man who develops protective, loving feelings for her and tries to help her learn how to get around in the world so she can break away from her family.