[rootsudo]

Kuuchuu Buranko - Anime that goes into mental health and how to better yourself.

I'm also a fan of psychological anime and:

Kaiba - Spot on Animation.

Welcome to the NHK - Explores the Hikkimori phenomena first hand.

Mononoke - Beautiful Done Japanese tales, psychological.

Higurashi no naku korno ni / Umineko no naku koro ni - long winded series, in the style of Agatha Christie murder mystery, to go into more would only ruin the fun. :D