The Notorious Landlady (1962). Starring Jack Lemmon, Kim Novak, Fred Astaire. Written by Larry Gelbart (creator of the M*A*S*H series) and Billy Wilder. Novak is the landlady in question; she is suspected by the Yard and the public at large for murder in the sudden disappearance of her husband. Lemmon is a state department flunky who takes out a flat in her house and Astaire is his boss. It is surprisingly, considering who's involved, not all that funny. It is, however, not a bad movie at all. Has it's moments.
1962, by the way, was a stunning year for movies. Just to name a few, there's Lawrence of Arabia, To Kill a Mockingbird, Lolita, The Manchurian Candidate, Dr. No, Advise and Consent, Whatever Happened to Baby Jane, and more. A really, good year; many classics.
Oh, and now I think about it, I came about that year as well. So, you know... a VERY good year.