The filmstrip Man and the Moon depicts moon colonization as something just around the corner. A video clip of the filmstrip is below and can be found in its entirety at Droppin' Science.

(On a sidenote, the Droppin' Science website says that Man and the Moon was produced before the first moon landing, which isn't true. The narrator mentions the first moon landing midway through the filmstrip.)

See also:
Olympic Games on the Moon in 2020 (1979)
Hubert H. Humphrey's Future (1967)
Future Cities: Homes and Living into the 21st Century (1979)
Challenge of Outer Space (circa 1950s)
Mars and Beyond (1957)
Animal Life on Mars (1957)
Plant Life on Mars (1957)
Man and the Moon (1955)