The 1957 movie Desk Set, starring Spencer Tracy and Katharine Hepburn, explores fears of automation and computerization. When Tracy's character, Richard Sumner, introduces an "electronic brain" into the workplace it sets off a chaotic chain of events. Katharine Hepburn plays Bunny Watson, the head of a research department for a fictional television network and reluctant warrior in this battle of woman versus machine.
A short clip from the film appears below.
How Experts Think We'll Live in 2000 A.D. (1950)