Hina is a girl with psychokinetic powers, who has escaped from a government lab, and fallen into the house of Nitta, a mob enforcer. He's got a collection of priceless vases, and she has no self-control over her ability to smash everything in sight. It goes about as well as you might think.
Hina is a wildly self-obsessed girl, who tends to expect everything to be given to her for very little work. This doesn't endear her to Nitta, who finds himself thrust into the role of foster father, attempting to teach her correct behaviour through the provision and removal of nice food. He takes up this position mostly through her ability to half-Nelson him with her mind, but also due to his troublesome friends who guilt-trip him every time he tries to abandon a tiny girl. Even though she is basically a monster.
Hina has friends of her own, and there tends to be a bit of a culture clash when they all come together. Anzu is another girl who has psychokinetic powers, sent to hunt down and kill Hina, but almost immediately fails and finds herself stuck in the world with no-one to rely on. Hitomi is a school chum who manages to end up bartending. They all have various adventures with Nitta and the other adults.
It's weirdly familiar to Mitsuboshi Colors, but everyone tends to be rather more adult, and the jokes are even more surreal. There are concerns about illicit adult/teacher relationships, the effect working in a bar might have on a schoolgirl, and the fact that a new dad can't get any action, even if he leaves the girl at home.
The show runs multiple streams, all of which are given enough time to be properly developed. Hina's learning to be human would take up an entire show itself in other hands, but here it's merely a part. Hitomi's development into a worryingly effective bartender, and her need to not be caught makes for a fun second stream, and the third is focused around Anzu and gives the show a much more serious bent.
Anzu's homelessness is given hints of comedy, to keep it in line with the rest of the show, but it is also treated sensitively, giving an emotional core to her storyline in which she is struggling merely to eat. A large chunk of time is spent following her life of collection waste, spending an hour hunting down enough money for a hot drink and trying to survive another night in the cold. Unexpectedly realistic.
It's primarily a surreal comedy, and it does that very well. It bounces in and out of different places, and you're never quite sure where you're expecting it to end up. It usually ends up somewhere else anyway, and often in the hands of minor characters such that the core cast keeps expanding. Pretty damned funny and has some amazing art shifts for the more shocking moments, as well as some hilarious reaction shots. Give it a go.
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