Apollo 13, without a doubt – The team went to great lenghts to make that realistic (including shooting in cold studios to replicate the cold LEM and in a parabolic flight to show weightlessness). Plus it’s a true story, which the told accurately.
The Martian is pretty good (except for the EVA and the bit just before the end). Gravity is terrible – which is such a shame as they got the look just right, but forgot all about Physics, orbits, astronaut training, what life in sapce is really like etc.
If you get the chance to see the HBO Mini Series ‘From the Earth to the Moon’ – that is also brilliant.
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Gravity Girl commented on :
These answers make me want to watch the films! Thank you! ; )