|Air Force||1943||World War II||Adventures of a B-17 in the Pacific in the early days of the war. At the beginning is shot of an IBM Radiotype machine receiving a message.|
|Wing and a Prayer||1944||World War II||Dana Andrews; carrier pilots in the Pacific. Brief shot of IBM 405 typebars in action (the 405 dates from 1934).|
|Infinity||1996||World War II||Matthew Broderick as Richard Feynman programming and operating an IBM 405 at Los Alamos; scenes of machine room with various equipment.|
|Top Secret Rosies: The Female Computers of WWII||2010||World War II||Centered around interviews with some of the original ENIAC programmers. There is film (not just stills) of Vannever Bush's Differential Analyzer and ENIAC itself in action, as well as the woman computers seated at their desktop mechanical calculators, supplemented by stock footage of 1930s-40s IBM equipment, war production, and the war itself, not well-checked (for example, B-29s are used to illustrate the B-17 bombing missions over Germany).|
|The Heralds of the Internet||1972||ARPANET||A documentary about the early ARPANET that showed up on Google Video in mid-March 2006 and then promptly disappeared. I watched the beginning, which consisted of a montage of equipment, Teletypes, backplanes, IMPs, etc, and then some interviews with ARPANET creators, but when I went back to see the rest it was gone.|
Another possible candidate is Enigma (2001), a fictionalized story of the World War II code breakers at Bletchley Park, but I haven't seen it.
Numerous films made in the 1950s, 60s, and 70s include stock footage of card sorters and/or spinning reel-to-reel magnetic tapes. The 1957 Tracy-and-Hepburn movie Desk Set features an impressive but fictional 1950s "electronic brain".