13 Minutes To The Moon podcast
It is very informative and goes into quite a fair amount of detail. It can also be repetitive too. Many of the people in mission control or in space have given interviews for the podcast.
It is amazing how much can be done with so little although NASA did have rooms filled with engineers and limitless supplies of money. That the astronauts survived Apollo 13 seems like nothing short of miracle.
I also recommend both seasons 1 & 2 of the '13 Minutes To The Moon' podcast. Season 1 (Apollo 11) can be listened to straight through. Season 2 (Apollo 13) is almost finished.