When watching revolutionary girl utena, it somehow made me feel like "This is kinda like NGE but for girls" Both have in-depth character analysis implemented somewhere inside the series, and the style of them is similar. Both have metaphors and symbolism, and some parts/things that make you think a bit.
However, NGE's Angel fights have been replaced by sword fighting in utena, and there are some other differences aswell, but they have the same feeling when watching, at least near Utena's end.
Massive amounts of symbolism, character analysis, and psychological issues. While Utena is a lot more lighthearted and silly at times, the serious moments rival some of the darker moments of Evangelion and have the same pervasive atmosphere. They're both a thinking man's anime and something that absolutely everybody should watch, unless a symbolical focus makes you uncomfortable. You'll have to read through the lines and see the big picture in both of them.
Both are extremely bizarre series with hidden meanings and psychologically messed-up characters. Fun stuff!
Both are confusing as hell. Both have three-dimensional characters that drive the plot. And if you include End of Evangelion and ignore the last two episodes, both have bitter, confusing endings (one sweeter than another though).
A jump I know, but I love these shows for the same reasons: Complicated plot, deep chock full of symbolism, and complicated flawed characters.
There are many parallels to be seen between Utena and Evangelion, including internally conflicted main characters, severely damaged familial relationships, and a host of others.
Both series revolutionized their respective genres, and are absolutely worth watching.
In many ways, Revolutionary Girl Utena is the Neon Genesis Evangelion of the shoujo genre. They're both surreal take themselves very seriously, they both have very complex casts and Shinji Ikari and Utena Tenjou are both very conflicted and well-written protagonists (Albeit in different ways). At first glance, Revolutionary Girl Utena may just look like a simple shoujo anime, but in reality, there's so much more to it than that. Evangelion fans, I highly recommend you check this one out!
If you want another psychological anime that doesn't adhere to its genre and contains a bunch of symbolism, Revolutionary Girl Utena is the one. Like Eva, it has budget constraints on it, which cause it to be repetitive, but you could skip through things, or just see them as thinking breaks. You'll need a break to think.
It's not very uncommon to hear that "Revolutionary Girl Utena" is the NGE of shoujo. Both rely on symbolism to tell a very complex story about human emotion and the complexity of human life.
While having it's own distinct personality, you can say Utena is the shoujo equivalent of Evangelion. Both are Freudian anime that explore how messed up their characters are and attack the conventions of their genre. Both throw symbolism around at any chance and are very open to interpretation, when you're done watching them you're not done with them yet.
You will get many similar feeling when watching these two shows..
Just be ready to be confused when watching..
Angel fights in Evangelion are sword fightings in Utena..
Both are classic 90's anime that deconstruct their respective genres. Both start out fairly light-hearted and grow shockingly dark as the plot thickens, both rely on symbolism, are heavy on the psychology and philosophy, and both are coming of age stories with utterly evil villians (who are scarily realistic) and both have endings that can be intrepreted in many different ways.
Evangelion and Utena are both heavily psychological coming of age 90s anime with tragic and complex characters and tons of symbolism. Many aspects of both series are ambiguous and open to personal interpretation.
Both seem to start off as simple "Battle of the Week" shows, but they grow into much more. Both series deal with adolescent characters and their struggles, with their somewhat non-linear stories being decorated with abundant symbolism. Where Neon Genesis Evangelion redefined mecha, Shoujo Kakumei Utena redefined shoujo.
Similar concepts(if you understand the first its easy to get the other), both valued as anime with more depht.