There are a number of decent documentaries on various aspects of the history of the computer, but not many on computer programmers. Among other things, programming as an activity is difficult to represent in ways that are visually interesting.
Nevertheless, I came across a work in progress on the origins of APL that looks intriguing. The producer/director Catherine Lathwell is the daughter of Richard Lathwell, one of the original APL developers. There is also Top Secret Rosies, which I was involved with, as well as To Dream Tomorrow, an excellent film about Ada Lovelace. There are also a host of related films that are not histories of programming per se, but which are nevertheless relevant.
The world still awaits its great film about the programmer heroes of the computer revolution, however!