If you're looking for anime similar to Gomen ne Chitchi, you might like these titles.
A Dog Under Bridge shows how director Tang sees society from a dog's point of view. It turns out that things which seem normal to humans could look ridiculous in the eyes of a dog.
The manga centers on a rookie dog trainer named Miyu Samura. Miyu's ex-girlfriend left him with a dog that he didn't really know how to take care of. One day, he meets Shinichirō Niwa, a dog trainer, and the indecisive Miyu's life begins to change. Shinichirō also introduces Miyu to the pet groomer Ritsuka Izumi and the veterinarian Suzunosuke Kubō.
This story is about the dog named Chokotan who has the ability to speak with humans in the human language. Nao, her owner, likes a guy named Arima. Arima has a dog named Hatsupi. On Hatsupi's birthday, Nao makes biscuits that are edible for both dogs and humans. Nao and Chokotan bump into Arima and Hatsupi on the sidewalk and Nao runs away before she can summon the courage to give the biscuits to Arima. Chokotan encourages Nao and she makes up her mind to go back and give the biscuits to Arima. Now then, will she be able to approach Arima while she's not even able to talk casually to him?