Fooly Cooly was really wierd in my opinion, but I'd have to say... Puni Puni Poemy is the wierdest one Ive ever watched. Fooly cooly is about a pink-haired, guitar-wielding alien girl )She looks mostly normal though) who comes to Earth and cracks this boy named Naota in the head with her guitar. Then, strange things and monsters keep popping out of his head from where he was hit. And Haruko keeps.... "messing around" with Naotas father and Noata gets all jealous of that o.o; And theres also this alien human-like cyborg named Kanti that helps battle the monsters and is like Haruko's helper/assistant. So yeah, as you can tell this one is really wierd on all levels o.O
As for Puni Puni Poemy, this girl (the main character, I think its Poemy o.O; ) who never shuts up and is mega-hyper and constantly talks about random stuff who can turn into this magical Sailor Moon-like girl who uses a fish bone wand to destroy enemies and is also good at karate (She broke some girls back in half in the opening scene) >.>; And then theres this girl named Futaba who has a huge, obvious crush on Poemy, and theres also some guy who Poemy has a crush on and he turns into this giant squid alien and is plotting to destory the planet >.> I wont explain any more but you get the point, while i watched this anime, every few minutes I was like "WTF? o.o; "
So yeah, Fooly Cooly and Puni Puni Poemy are the wierdest Ive ever seen so far.