I watched it today as well. It didn't knock Apollo 13 out of 1st place on my list of favourite space movies, but I didn't hate it either. I'd maybe put it on par with The Right Stuff for re-watchability.
The movie is from the perspective of the people in the scene, so if you're in a rocket you're only going to see the spacecraft's controls and dials, and a tiny view out the window. There are only a few views of spacecrafts from an outside perspective. I think the "shaky cam" technique makes sense in most of the cases that it is used in this movie, since if you're on top of a launching rocket things will tend to get shaky.
I also wasn't that bothered by all of the close-up shots, since it was usually used to show the intensity of the character's concentration, or other emotions. I think you also get a lot of tight shots while inside spacecraft in order to give the audience a sense of how small the spacecrafts were. At least that's how I think of it, so it didn't bother me.
I wasn't impressed by the sound effects during the Gemini 8 launch (which seemed to be made up of squealing pigs and random loud bangs), but maybe other movies are to blame for giving me a false idea of how a rocket launch should sound.
I found this movie to be quite dark (both darkly lit, and emotionally dark), whereas Apollo 13 was brighter and happier.
I didn't like how Neil Armstrong was portrayed as being almost completely emotionless. It made him look less human. I didn't know him, but from what I do know of him he was maybe a bit introverted and probably overly serious at times, but the movie made him come across as having no ability to interact with other people. In the movie, he would talk to his children the same way he would talk to the press during an interview. But this is usually the way an extrovert would portray an introvert (as if we're robots).
I thought the depiction of the Apollo 11 moon landing and the whole lunar EVA looked pretty amazing. When Neil and Buzz open the hatch you hear the air rush out and then it's completely silent. It does contain one scene that might be totally fictional, but I could be wrong. It was a personal moment for Armstrong, so maybe he just didn't make it known to many people outside of his family. I'll have to check his biography to see if it's mentioned there.
The only other criticism that I have about the moon landing sequence was that the timing of Buzz Aldrin calling out "Contact light!" seems way off from how it should be. In the movie it goes like this:
<The LM lands on the moon>
<4 seconds pass>
Buzz: Contact light!
Neil: Shutdown!
Shouldn't it be more like this?
Buzz: Contact light!
Neil: Shut down!
<The LM lands on the moon>
Or maybe like this?
Buzz: Contact light!
<The LM lands on the moon>
Neil: Shut down!