I think that specifying the threshold of faithfulness that you desire (e.g. Expanse -- ignoring its declared departures from our physics -- has the "Roci running silent" sequence that is unrealistic at least in timescales) might net you very different answers.
There are various semi-historical or semi-documentary series that might fit your bill. From The Earth To The Moon is one such (the faithfulness complaints I had about it were minor and not about realism, but about faithful reproduction of actual space hardware[1]). I haven't watched more than excerpts of Masters of the Air, but ones I've seen suggest that it's realistic.
[1] of the sort "this is not how you switch the LM descent engine off, doing that would have no effect"