Morisato Keiichi has always had bad luck. No matter what he does or how he acts, nothing seems to go his way. His bike frequently breaks down, his classmates take advantage of him, women ignore and scorn him, and on top of all that, he’s only 5'3". In Heaven, when someone’s bad luck and good luck are so heavily out of balance, Belldandy (Goddess First Class, Second Category, Unlimited) of the Goddess Assistance Agency comes to the rescue. Belldandy grants Keiichi one wish to make up for all of his bad luck, but when Keiichi wishes for Belldandy to stay by his side forever... the trouble begins. Can Keiichi keep Belldandy by his side, or will outside elements force her to return to heaven?
It is a time of peace between the Earth and the Moon, in the aftermath of the great war between them. On Earth, young Asagiri Tatsuya is amazed to learn that his home is to have a Lunar exchange student, for a homestay guest. Even more amazingly, his guest is none other than the Princess of the Lunar Sphere Kingdom, Feena Fam Earthlight. As Tatsuya struggles to deal with the ramifications of this, and as tensions rise between Earth and Moon, he also learns that there is more to this homestay than meets the eye, and that he and Feena have a shared destiny...
Life goes on and it's business as usual at Bokuto Station -- almost. A new colleague arrives and Miyuki & Natsumi are put to the task of teaching this hyperactive newcomer the rules of the station and how to handle criminals, among other things. As life teaches us, things tend to always change, not staying the same, and some, it seems, have a harder time coping than others. You're Under Arrest! Season 2 is more focused on character development and interactions between the staff, in this continuation of a lighthearted look at Bokuta Station and those who work within it.
Both series are lighthearted comedies based on works from Kosuke Fujishima. Not only are they extremely similar in terms of tone and provide the same general fun factor, so are the character designs. For example, the design for Miyuki was apparently used as a template when Fujishima created Belldandy (wiki). Furthermore, they're both prime examples of the Yamato Nadeshiko trope, as their personalities are almost identical.
Both series are a lot of fun and should be watched by any fan of lighthearted series.