If you're looking for manga similar to Hakase no Koneko to Ame no Asa, you might like these titles.
A "PET" is a love animal, created for the express purpose of pleasing their master. This is a short story of how one PET became endeared to her master, and vice versa.
A girl with animal ears and her eccentric older girlfriend conspire to have their house recognised as its own country. As the reality of things like border control and economic sanctions set in, the older girl starts to throw crazy ideas at the wall in the hope that at least one sticks. No-one said the road to independence was ever easy!
Kasuga Chiru is the only daughter of a powerful and wealthy family. At seven years old she was engaged to Shinonome Senri, a girl from a family of much lower status. But besides that day, the two never met again. Now sixteen, Chiru prepares to marry her betrothed, yet she wonders if the kind Senri has changed over the years they've been apart, and whether they can become a happy family even though their union is arranged. Upon visiting Senri's town, Chiru is overwhelmed by all the love and fondness the townspeople have for their apothecary, Senri. Chiru begins to feel a stirring in her heart, that same wonderful feeling the night Senri rescued her, the night they met. A tender love story of arranged marriages and fox girls begins!