Piroko's Picks - A Guide to Good Things
Legend of the Galactic Heroes: Typically abbreviated as LotGH, is a series about a far future space war used as a backdrop for the creator's discourse about the merits of republicanism and dictatorship. If you liked Babylon 5, you'll likely enjoy this as well as it explores similar topics with similar characters in the same novel-for-television format.
Outlaw Star: This series resembles what you'd get if you did to Starfinder what Record of Lodoss War did to D&D: take someone's table group, turn it into a series and play it totally straight. It has melee spaceship combat, magic users, ninjas, catgirl aliens, androids, gunslingers with magic bullets, and yet somehow manages to make it all work. It came out slightly before Cowboy Bebop and so was sadly overshadowed, but has beautiful, high-saturation cel art.
Mobile Suit Gundam - Stardust Memory: The best title in the Gundam franchise, despite being hamstrung by the leading characters of Kou and Nina. The designs and artwork quality are the best of the mecha genre, the storyline builds up its twists without telegraphing them, and the 'antagonist' makes up for the crummy protagonist. Sieg Zeon.
Agent Aika: Knows exactly what it aspires to be: a show where women in miniskirts fight each other with lots of gratuitous angles. The plot is quite literally Moonraker (as in Roger Moore era 007) with a lady and that's all it needs to be. It gets a mention for being unapologetic.
Those Who Hunt Elves: As a general rule, isekai sucks. It just does, it smacks of lazy writing at best and more just wish fulfillment. Which is where Elves comes in; this is a series that says if isekai is going to be about living a fantasy, you might as well make it a good fantasy. A movie star, a martial artist, a teenage 2nd amendment enthusiast, and a JGSDF Type 74 MBT possessed by the spirit of a dead cat get dropped into a fantasy world and have to recover spell fragments off the bodies of elves in order to get home. Elves isn't a good series, it's a series that does a good thing by taking a bad genre and knocking it down a few notches.
The Irresponsible Captain Tylor: Is to Ciaphas Cain what Cain is to Ibram Gaunt. Tylor resembles an old 90's comedy B-movie called Down Periscope where an old ship with a washout crew gets a lunatic captain. He single-handled ends an interstellar war against space elves on luck. No like "oh, that was luck", no... they know he's incompetent, and they know he's also the luckiest man alive and whatever they try to do to him will roll a critical failure. The creators of Tylor probably set out to lampoon LotGH, but it more accurately lampoons a show that wasn't even created yet, Banner of the Stars.