Not films, but 'Sunburst and Luminary' by Don Eyles, about coding the software that would land on the moon, and 'Digital Apollo: Human and Machine in Spacefligh

Not films, but 'Sunburst and Luminary' by Don Eyles, about coding the software that would land on the moon, and 'Digital Apollo: Human and Machine in Spaceflight' by David A. Mindell, about the tensions associated with increasing computerisation of space craft