I think I'm going to have to throw another vote for Elfen Lied in here. Recommended to me by multiple friends, and I now value their opinions less because Elfen Lied is nothing more than thinly disguised stroke material for teenagers.
People act like it's some kind of masterpiece in storytelling when it's absolute dross. Bioweapon escapes from military lab, goes Tetsuo on some folks, disappears. Bad guys try to track down bioweapon, who now has amnesia and joins - of all things - a harem anime. And the series has literally no ending. Confrontation is set up, no resolution, end.
Think of an irritating trope, because it's in here. Socially awkward boy suddenly surrounded by girls continuously acts like a moron. Multiple misunderstandings between him and his primary idiot love interest (who I seem to remember he is related to). The "discovery" that Amnesia Bioweapon Girl and Moron have been linked since birth - OMG FATE. The show's constant poor excuses to take these underage girls and remove all their clothing.
The most egregious example of Elfen Lied's real objective comes during a heartfelt (read: sickening) conversation between Moron and Idiot. The entire scene is inter-cut with a scene of the girls taking a bath together. How does the conversation resolve? The door behind Moron and Idiot flies open and ABG appears, completely naked, to throw her soap-covered breasts onto the screen. End scene. Absolutely purile.
I ended up rooting more for the bad guys, because they were actually kind of developed and not infuriating. They are genuinely trying to contain a species that is demonstrated time and time again to be extraordinarily dangerous. They have horrible things happen to them, and part of the series shows them trying to cope, or not coping as is far more likely. They're not great people, but they're a thousand times easier to relate to than the protagonists.
TL;DR - Elfen Lied is everything that non anime fans tell me anime is. If you want to watch porn, just watch porn. If real folks don't float your boat, there's hentai out there better written and far more enjoyable than this. If you want to mix the two, get yourself an uncut copy of Kite and have some fun. Elfen Lied is pandering of the worst kind, enjoyed by knuggle-draggers everywhere. I hate it for squandering all its potential in the name of making a skin flick, and I hate it for making me respect my friends less.
Great theme music, though.