"A Shot in the Dark" is a good one. The title has been used a few times ... as well as the 1941 movie, there's one from 1935 with Charles Starrett (from the Durango Kid movies) and Edward Van Sloan ... and from 1964 with Peter Sellers as Inspector Clouseau.
I just found my copy of "Show Them No Mercy" so I'll be watching that soon. Some more attention grabbing titles I thought of are "I Married a Monster From Outer Space", "Crime of the Century", "Crime of Passion", "They won't Believe Me", "Mister Dynamite", " ... and the Perfect Crime" (eg. Ellery Queen and the Perfect Crime), "20,000 Years in Sing Sing", "6.000 Enemies", "the Man Who Lived twice", "Marked Woman", "Phantom Lady", "Half Angel", "the Killer is Loose", "Five Came Back", "They Made Me a Criminal"