 If you liked
Shinseiki Evangelion
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 ...then you might like
Blue Gender
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Not sure why this isn't recommended more, but both are dark and depressing mecha. Both devolve into a weird psychological theme centered around the nature of humanity.
Blue Gender doesn't get nearly as surreal as NGE, and BG is more focused on the effects of war/battles. For every similarity, there's a difference, but there are a lot of similarities, and both are excellent.
These are both post apocalyptic mecha shows that focus on the darker side of human nature and also have there fair share of blood in them.
the main difference come in the form of the enemys as they are giant bugs in blue gender and "angels" in evangelion.
personally i'd say BG is slighty better but only because shinji is a douche, anyway you should check both of these out because THEY ARE AWESOME!
I'm beyond surprised that Blue Gender isn't in the top 5 recommendations for Evangelion. They have a very similar bleak vibe about mankind's impact on the world. Although Eva has light moments, Blue Gender is a very oppressive atmosphere that is outright heartbreaking. Definitely a very profound experience and highly recommended especially if you're in the mood for something that gives a similar feeling that Eva does.