If you liked
Turn A Gundam
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...then you might like
Karakuri Kiden: Hiwou Senki
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Both have giant "robots" (though in Hiwou they are technically clockwork machines) that end up being used for both war and mundane things. The stories are both pretty heavy with politics as well, with Hiwou being based on a real period of time in Japan and Turn A being based on a completely fictional Earth which nevertheless has conflicts similar to ones that have actually happened. There's great character development and lots of anti-war themes in both anime, and you know anti-war themes in the middle of war always provides excellent drama and conflict. I'm really just sad Hiwou Senki had zero recommendations. FYI, Turn A Gundam requires NO previous Gundam knowledge.
If you liked
Dennou Coil
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...then you might like
Dead Dead Demons Dededede Destruction (OVA)
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Both have soft, squishy art styles and center around young people exploring the mysteries of their world while facing character drama and growth along the way. Both also deal with how things like technology can integrate with and affect peoples' lives, as well.
If you liked
Kyuuketsuhime Miyu (TV)
|
...then you might like
Devilman Lady
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Both are fantasy action with a kind of dark, muted feeling and atmosphere. Mostly episodic as well, with decently interesting protagonists.