Kinoko Inu

Two slice of life's with adult casts that revolves around pets and an author overcoming the grief of losing family members, main difference being that Hizaue only has the MC's parents passing away whereas Kinokoinu has the MC's parents plus their dog passing away and that one has a cat whereas the other one has a [i]dog[/i]. They both have their light-hearted moments with interactions to their new pets but a fair bit of serious sad content with overcoming grief. Main difference is Hizaue is normal with its contents whereas Kinokoinu has a mushroom dog, which is very unnormal but the pet is also very smart and understands what humans say. read more 

Both are wholesome, heartfelt anime about raising fantastical creatures. Both have magical realist elements.