If you liked
Shangri-La
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...then you might like
Suisei no Gargantia
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The theme of science fiction is present throughout both series as we can see that the planet/world that the characters resides in have different policies and structures than our own.
Shangri-La and Suisei no Gargantia both takes place in the distant future. Among the settings, humanity lives on their perspective planets but faces struggles. There are also secrets behind the backgrounds related to some of the origins of the series.
The main character from both series also has possesses military intellect and skills along with an unique weapon/partner. Among other factors, both series has an utopian like background that gives off a similar vibe.