Furi Kuri is full of misteries that are going to be develated (I guess) in the final OAV or in the movie.  Due to this, there isn't a very clear argumental line and that's why I'm going to comment more or less the argue and avoid spoilers, of course ^_^.

     The story is placed in a city called Mabase wich has the Medichal Mechanica plant. The male starring is a 12 years-old boy called Naota and the female starring is a 19 years-old (suposed) girl called Haruko who ran into Naota with her Vespa. From one day to another, this tall girl is living in Naota's house.

     One night, when Naota went out to look for Mamimi (her brother's girlfriend), a strange robot appears.  Suddenly, this tall and tv-headed red robot called Kanchi (aka Canti, TV-Kun) started to fight against a hand-formed evil robot who came out from the Medichal Mechanica and Haruko hepls him (or it?).

     The story of FLCL is developed around this base. In every OAV, new evil robots appears and Kanchi and Haruko fights against them, new characters appears and the relationship between them is treated.

     The plot of Furi Kuri is very weird and is a must-see anime. With FLCL, Gainax is doing something different to the rest of the anime series (like they always do) and very original too.