FWIW, the best single entry is called The Untold Story by National Geographic TV. It is a docudrama of the Von Braun & Korolev parallel stories.
But the most interesting to someone familiar with the space race already, and not wanting a rehash, is the story of Russia surpassing the USA in rocket engine technology. Did you know that the Atlas engines are now Russia brand?
The Engines That Came In From The Cold
