 If you liked
Shinseiki Evangelion Movie: Air/Magokoro wo, Kimi ni
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 ...then you might like
Yuuki Yuuna wa Yuusha de Aru: Yuusha no Shou
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Both are a conclusion to the series, both have a sort of twisted (but satisfactory ending in my opinion). Both deal with the characters being controlled by conspiracy and fighting an unknown enemy. Characters on the happy side, not depressed and unfriendly like Evangelion's. But definitely Evangelion has served as an inspiration to this series as a whole.
Please watch from Washio Sumi Arc first, same goes for Evangelion, start with the series.
Don't watch any of them if weird endings, and heavy stories are not your cup of cake.