On the subject of TV space battles, just wanted to mention some anime: Legend of the Galactic Heroes, and Starship Operators.
The first one (a very old anime, but a classic) is a long series full of political intrigue and large scale space fleet battles. I really love this kind of stuff, detailed depictions of strategies and tactics, pitting commander against commander, etc.
The second is a really interesting take on space ship to ship combat (and then throw in a bunch of teenage girls.... ). Rather than using aircraft or naval as a basis, instead this show embraces the idea that space ships can use innovative and unknown technologies and tactics. It becomes a cat and mouse game, "Enemy ship detected! What kind of weapon do they have? How will they attack?"
I mention anime because I don't think these sorts of tropes appear in english-language film/TV very much. English-language media seems to be more action oriented, with amazing feats from a single heroic pilot or captain winning the day, where the fleet is just a backdrop pew-pewing each other uselessly.
Asian fiction & myths historically have a lot more "tactician heroes", which might be why you can get away with anime where a large part of the show is diagrams explaining why Admiral X was incredibly brilliant and did this incredibly innovative formation that totally caught the enemy offguard etc etc.