One of the best military sci-fi series that could be summed up as Master and Commander in space is the Honorverse by David Weber. Starring Honor Harrington, a female twist on Horatio Hornblower, the series slowly goes over her military career as she rises through the ranks, navigating a complex web of politics, factions, and shifting allegiances over the course of highly detailed military engagements.
Given how Russel Crowe’s Master and Commander of the Far Side of the World failed to launch a franchise, it’s understandable why the similarly themed Honorverse hasn’t been adapted, but I think this has the potential to blow up big if properly supported.