Elfen Lied would still be a good anime without the Gore and Tits, it's not just about the ultra violence as it is about the characters, and their melodramatic back stories. It's well written (at least the manga), and even the anime, as much as I hated Lucy, you can feel a little bit of empathy for her.
Ghost in the Shell, is not what I would call weird, a lot of cliches are used in it's use of androids with souls (not talking about dem cyborgs), and scenarios of AI/Androids going bonkers and doing unexpected things, but the characters and plot is very solid, which is a major+.
Then, the bad anime, like Dragonaut, pointless, unless you are into huge, I mean, humongous, tits.