I showed this to Amy - she doesn't typically take to Anime, but she's gone out of her way to watch as much Lain as possible.
There's a few reasons this series appeals to her, and reasons this is unusual Anime:
An animated television series in Japan (where is our TV like this?!) Lain is available on DVD. Here's a LainSite.
- not simple violence and sex
- female protagonist
- surreal play in the shadows - no image is straightforward