I did this deep dive video essay/documentary on Serial Experiements Lain a couple years back. It's been pretty positively received, so I figured I'd share it here. The video itself goes pretty indepth and I wouldn't be able to do a good summary of it. But it's just as the title says, it's an analysis of how Lain accurately predicted where the world was heading as well as being an investigation regarding what it was responding to at the time.
