Shoujo Kakumei Utena
Most screwed up show I've ever seen. Seriously. Take a girly cartoon, throw in random humor (as opposed to humor at random), and complete it with lots of angst, confusion, and MUCH MUCH WRONGNESS and you've got Utena. It's rather shocking that the target audience of the show is little girls. Nevertheless, I think people tend to avoid Utena because they do think it's for little girls... but get passed that shell and you'll see something very disturbing inside. As the series progresses from episode to episode, shock value shoots way up.
Where do we begin. The series is generally broken down into three arcs. The Student Council arc introduces the major players, starts things off lightly... at least compared to the rest of the series... and is probably the silliest of the three. That's not to say that there aren't silly eps scattered throughout the series... but the angst factor is balanced a lot by typical shoujo antics and really bizarre humor. A lot of character exposition is done here, particularly among the student council members, and it really sets the stage for the last arc. The duels are really well done, with each battle being unique. I would say this arc has the best balance of everything that makes Utena what it is.
The second arc, the Black Rose Arc, seems to be almost isolated in that the major enemy comes out of nowhere, and in the end plays no significant role. That isn't to say the Black Rose arc is worthless... on the contrary, despite every duel being exactly the same, what I enjoyed is the emphasis on the characters' internal struggles. Before each battle, the duelist sits in an elevator, and basically talks about what they're feeling as if to a shrink. The psychoanalysis is sorta akin to the last two eps of Eva. Not to mention, the wrongness factor is driven way up. The series has tons of sexual and taboo innuendos... but while hinted in the first arc, it becomes a bit more blatant here.
The last arc, the Apocalpyse Saga as CPM has billed it, is way more plot-driven. For the first two arcs, you observe a lot of things, but you never know what's going on. This last arc reveals a lot of its secrets, but I still have no clue what the series was about. Haha. I'll edit this once I finish the series a 2nd time. The last arc also ups the wrongness factor, so that I generally felt disturbed after watching each ep.
So if I don't exactly understand it, do I like it? Yeah... I like it a lot. The series is quite twisted. You think everything is normal, and then the show will throw curveball that smacks you right in the face. The "wrongness" that I keep referencing is also kind of a plus, as I've not seen too many other things that elicit such a response. But most of all, it's pretty darn entertaining. It mixes sweet tender moments, cutesy-ness, nice choreographed sword battles, oddball humor, heart-wretching angst, great Mitsumune soundtrack, a quirky directing style and keeps you guessing as to what happens next every step of the way. There's no other series like it.