These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: From the Earth to the Moon
Values Dissonance: Americans are portrayed as egotistical and willing to use any excuse to go to war, and we're supposed to like them. Of course, even though Verne is giving a comic portrait of America, he based it on facts.
Awesome Moment: Earthrise, from "1968". The crew is coming around from the far side of the moon on their first orbit (which is an awesome moment in its own right) when they notice Earth through the window. For a long time all they do is stare in wonder before Jim Lovell realizes they ought to be taking some pictures of this, a picture that is called the most influential environmental photograph ever taken. That there were humans looking at Earth from the shore of another world for the first time in all of history is a grade-school fact today, but the Awesome Music swelling and the speechless awe of the three astronauts capture how great that achievement really was.
The end of "The Original Wives Club," when Jim discovers that all of his kids had his tonsils out without him knowing, along with various other things, which he's very unhappy about until Marilyn explains that she was trying to protect him from being fatally distracted by worries at home.
Jim: [after a long pause] ...Thank you.
Marilyn: For what?
The "You saved 1968" telegram in the Apollo 8 episode.
Designated Villain: A well-done, nuanced version in Senator Mondale, who initially seems to want to kill the moon landing just because it will score him political points. When he says that he doesn't really hate NASA, he just thinks the money being spent on it is a waste and could be better used ending poverty at home and a useless war abroad, it's tough to argue with him.
Harsher in Hindsight: The clash in We Interrupt This Program over more tactful news reporting techniques versus more privacy-invading, sensationalistic ones is even more poignant given the rise of celebrity-hounding paparazzi that have only grown even more invasive due thanks to the Internet.