If you liked
Outbreak Company
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...then you might like
Gate: Jieitai Kanochi nite, Kaku Tatakaeri
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The biggest similarity between these two show is it's world setting. How a nation acts after finding out that there's another world just like their own. Japanese Self Defence Force is involved in both shows. Main character including other characters are trying to build up a good and peaceful relationship between two world. So one can say, it's really similar!
If you liked
Kanon (2006)
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...then you might like
Clannad
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There are too many similarities between these two shows. Similar characters, similar personalities, similar art, similar world settings. Both are Key Novels and are also adapted by the same studio (KyoAni). Both show has it's special moments and both shows are really good
If you liked
Steins;Gate
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...then you might like
Re:Zero kara Hajimeru Isekai Seikatsu
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Firstly both anime is produced by the same studio. MC has similar time traveling related abilities. Author represents how both mc stuggles through hardship again again to save the person they care about. Both anime have it's beautiful share of characters that are loveable. Gives of a similar vibe even though both are not from the same genre!