I see this film two ways and since manned space has been of interest to me since I saw the Mercury Atlas liftoff with John Glenn I know a fair amount. From the perspective of this being Neil Armstrong's life and portrayed him pretty well it failed miserably IMO. I have six children I hope I go before any of them yet the portrayal of Armstrong as guy who went through life mostly achieving and excelling but not actually living his own life much I feel was false. The historical record of interviews ,public appearances, films of training, all show him as a man who wasn't a great public speaker, relatively shy and generally introverted who preferred not to discuss feeling but instead the science and engineering. He was not, however, a horribly damaged, depressed ,morose guy who just couldn't get closure.
Way too much was historically wrong with the film to give it a pass if you know about those times:
1) There is nothing and I mean nothing in the historical record to indicate that his tossing the bracelet was anything but complete fabrication. This included the fact that his wife said he took no family mementos to the moon.
2) Gimbal trainer scene showing he and Ed White training in and then throwing up was not used after 1960 and only used for the first group of astronauts ,Armstrong was a member of group two or "the new nine" brought in in 1963 and never used the MASTIF.
3)Before and after liftoff we see Armstrong and Collins looking out the windows yet the boost protective cover allowed only Aldrin in the center seat to see until after the first stage was dropped and tower jettison occurred (more accurately shown in Apollo 13).
4) Armstrong was portrayed as damaged morose and depressed going through life almost entirely going through the motions with very little living it himself. He was a poor ,uncomfortable public speaker ,soft spoken and awkward in public but the portrayal of him generally in the film was not the Armstrong of reality.
5) Slayton tells Armstrong in the restroom that they wanted him to command the first moon landing ,in fact, Armstrong was designated the commander of Apollo 11 long before the decision was made by others that Apollo 11 should land first based on how well 7,8,9,and 10 had gone instead of 12,or 13 which were the expected first landing flights. Slayton did offer to switch out the LM pilot spot for Lovell if Armstrong didn't like Aldrin as the choice. So the commander and the flight number was set ..if it was going to be first or was it going to be 12,or13 was made later. Pete Conrad was more expected to be the first man than Armstrong for some time.
6)The interior of both the Gemini and Apollo spacecraft in the film looked filthy and almost corroded around switches. Lovell was quoted as saying that these were in fact single use items and each looked and smelled like a new car when you climbed in.
7)The absolute quiet experienced when the scene shows Aldrin opening the hatch did not occur of course since the sound of the PLSS was constant within the suit.
8) The footprint photo we all know and have seen in real pictures was not Armstrong's but Aldrin's.
9)The Apollo One fire shows all three just laying in their seats when, in fact, two were out of their seats; one (White) attempting to open the hatch the other looking apparently to find the fire source.
10) Armstrong getting his face torn up after bailing out of the LLTV was not true. He bit his tongue and that required no medical attention.
11) "Whitey on the Moon
" wasn't released until 1970 after the first two landings but is played as Apollo 11 is preparing for flight.
I'm sorry but this is just a start.
The second way is letting go and just say this is just a movie not really meant to be true and loosely based on a guy named Neil Armstrong and his family. In that case it is a wonderful film with lots of great acting ( not Gosling unfortunately as one of them) IMO and has some fun effects etc. In that case, accepting that ,I'd recommend it.