Have you seen Star Trek: Discovery on Netflix? It is (thankfully) not about men hitting each other, the ship has a sensible name and it is very keen to point out that the values of the current US administration are not (or should not be) those of Star Fleet. On the other hand, it is set during a war, so there's lot of unpleasant war stuff that definitely never showed up in the OTS.

Iain Banks's Culture ships have the best names. The two I can remember off the top of my head are the seek-out-new-life-and-new-civilisations research ship called Poke It With A Stick and the warship Free And Frank Exchange Of Views.