When Akira Narikawa was a boy, he communicated with the spirits of the swords that passed through his house. The grandson of a famous sword smith, he has grown to be a young man who doesn’t want to inherit the family business, and attends school instead. But Akira soon finds himself in the company of swords and their spirits once more, and with his special talents and kindness he always is able to calm what evil lies in wait. In addition to meeting new friends, Akira will touch the lives of many – both the living, and the dead.
High in the sky is the Yume Kira Dream Shoppe, a magical place where any dream can be granted in exchange for something dear to you. Rin, the shop's owner, and his plush rabbit assistant Alpha sign contracts with those in need, from a beautiful tree to a girl unable to confess to her secret love. Using rare and powerful items, Rin and Alpha will help bring joy to many lives.
While Yume and Katana aren't entirely similar - Yume being more similar to something like Pet Shop, both showcase how the supernatural interacts with the human world in a collection of individual stories. I think someone who appreciated one would enjoy the other as well.