My husband told me about a film he saw on television when he was a child that terrified him. He was on holiday at the time in mexico, about 20 some years ago. The film was old then, not sure how old. I told him I would find it, but I've had no luck so far. If any of this rings a bell do tell!
(things in quotes are uncertain) He describes the film as being a black and white, "silent" horror short: The film is set in a mansion, a man "pushes" an elderly man "his father" down the stairs and he dies. The elderly man is buried in a crypt outside of the mansion, and the younger man inherits his wealth and his house. There is a painting "half-way up the stairs" of the mansion and the crypt outside, the painting begins to change and shows the crypt door open, then a hand reaching out. The man begins to panic as the dead man comes out of the crypt in the painting, each time he passes the painting on the stairs the dead man is closer. "As the dead man reaches the house the movie cuts and the next scene is of the younger man dead."
The haunted by a man pushed down the stairs part sounds like an episode of The Twilight Zone, except for the silent part. The aging & painting part could also be some loose adaptation of, or something inspired by "The Picture of Dorian Gray." I don't remember "Alfred Hitchcock Presents" much at all, but it could be an episode of that as well.