Revolutionary Girl Utena is routinely described as Neon Genesis Evangelion for girls, and not without good reason.
At the very start of the series, we are given a vague explanation of some of the events that lead to Utena becoming who she is today. When her parents died when she was only a child, she fell into a serious depression. In the midst of this, a strange, prince-like man approached her, presenting her with a rose-crested ring, and telling her the ring will lead her back to him one day. So far, so generic shoujo. But normally, the female protagonist would simply be wooed by the mysterious man, and desperately need him. Utena is a little... different. She didn't want the prince... she wanted to be the prince.
We then cut to the present-day Utena, a tomboyish teenage girl who sticks out like a sore thumb, for her unique charms, loveable personality, and for wearing the boy's uniform instead of the girls (though interestingly, not one boy in the series wears the same uniform as her), who goes to the boarding school of Ohtori Academy. Amidst her everyday life at Ohtori, a series of events lead her to discover that other people at the academy also bear the ring with the rose crest, and that it unlocks a dueling arena where they must fight for possession of Anthy Himemiya, a withdrawn, timid girl who is known as the Rose Bride. The reason? They'd rather not explain that.
The most obvious reason for its comparison to Evangelion is that despite having a clear plot going on, there is clearly so much going on in the background being held from us by major characters that the series' strongest point is drawing you back to find out just what the hell is going on at Ohtori. Utena, however, has something of a leg-up on Evangelion in this respect in that more questions are actually answered, albeit semi-cryptically.
Another clear comparison, however, comes in the form of one of its biggest faults, and that is taking some seriously excessive animation-saving measures. Evangelion relied more on unusually long pauses and obscured mouths, whereas Utena relies more on stock footage. Way too much. While it does gradually improve on it, Utena's biggest fault by far is that it is extremely repetitive. Sequences are constantly repeated, and there's usually only around 15 minutes worth of original footage in each episode.
However, here's where it gets interesting: Utena has 3 clearly defined story arcs. For the first, the Student Council arc, this is where the repetition hits hardest. However, in the following two arcs, the Black Rose arc and the Car arc, this weakness becomes a strength. With the change in plot direction, the story becomes far more interesting, and with it, the repetition stops being annoying and starts being a tool to use to its advantage, building a strong, Monster of the Week (or in this case, Duelist of the week) style pacing, and on many occasions using it to play with our expectations, use well-placed character connections to create interesting comparisons, and its best point, it uses it to build excellent character development.
Another criticism of it, however, is that it often falls back on fillers. More unfortunately, these fillers are either recaps (but don't let that put you off, as they all have their reasons... especially the third, which is not to be skipped under ANY circumstances), or generally focus on the series' most annoying character, Nanami Kiryuu. Most of them simply end up abound with unfunny comedy, with one interesting example in which Nanami wakes up one day and finds that she has laid an egg (or at least, believes she has). This should probably be reminding you of something. The episode in general becomes an interesting metaphor for the insecurities of puberty, which, at its core, is something that Utena has a lot of parallels to.
On which note, I should bring up another thing it has in common with Evangelion: symbolism. Symbolism absolutely everywhere. However, this definitely beats Evangelion in this respect, because the symbolism always has a clear meaning, whether it be blatant abstract physical parallels, or subtle details that you will pick up subconsciously. In the latter's case, this is more specific to Utena's last, and best arc: the Car arc. More specifically, the titular car itself. The car, and its driver, clearly represent the adult world, power, seduction, and corruption... in particular, this is clear out of how the driver picks up vulnerable people, and... well, given what is implied to happen at the end of each car ride... you can probably fill in the blanks.
Overall, the series does start slow, but progressively becomes more and more impressive, with a clear, defined improvement with each passing arc. This builds up to a climax that brings together everything, an amazing crescendo of symbolism, perfect dialog that oozes brilliance with every line... to be perfectly honest, it may very well be my absolute favourite scene in any anime, ever.
The characters of Utena are one of its main draws. Every character in Utena is slowly revealed to be a flawed, vulnerable individual, each with their own personal struggles. There are also a few outwardly antagonistic characters who, as the series progresses, are revealed to really not be as bad as you'd think. The most interesting characters, however, are definitely the Rose Bride herself, Anthy Himemiya, and her brother, Akio Ohtori. The two have a tragic, mysterious backstory, as well as the most powerful presences in the series. Love them or hate them (and there are strong camps for both), you can't ignore either one.
From a technical standpoint, the art style is pretty bad at its worst and excellent at its best. Like most of the series, the art makes a clear progression with time, with the car scenes in particular looking absolutely gorgeous (and they damn well should). The music is also a mixed bag, being somewhat cheesy in its execution, but having some good quality music in there (expect the main transformation theme to get stuck in your head a lot), but with a lot of cheesy battle themes. Most of the background music for the series is superb, though, and several tracks are absolutely perfect for the series, most notably Poison, and the everpresent car's theme, the latter of which is a pimptastic blues/jazz song that fits with its scenes perfectly, being yet another reason why the car scenes are the coolest thing ever.
Overall, Utena starts off slow, but it's definitely worth sticking with. The series truly progresses into something absolutely amazing with time, creating an excellent cast of characters, showing off some brilliant directing, and making a stone cold classic in the process. Oh, and did I mention that the car scenes are cool?
Final words: Car scenes are cool.
For Fans Of: Neon Genesis Evangelion, Princess Tutu