FLCL (2000) (also known as "Fooly Cooly")
Watch if: If you love artsy shit
+ Bold visuals
± Story and happenings make little sense on their own
- That same old theme of teens discovering their sexuality
(Second season by different writer coming soon.) Surreal. Punk. In battles the fighting seems subordinate to visual jokes, metaphors, and just plainly weird stuff. Supremely eclectic visuals. Has too many jokes that are literal mentions of Japanese references. The theme of sexual development is rather pervasive.
Premise: Boy is harassed by woman with mysterious powers. Also he is going through puberty.