Gargantia on the Verdurous Planet

Gargantia on the Verdurous Planet is also listed as Suisei no Gargantia on some trackers — same show, different title convention. It's a TV series across 13 episodes out of Production I.G. It's finished airing, so the whole thing is watchable start to finish.

On the shelf it sits under Action, Adventure, and Mecha — worth knowing if you're comparing action anime specifically. If Gargantia on the Verdurous Planet works for you, Attack on Titan and Demon Slayer: Kimetsu no Yaiba are close matches — see the full related list below.