If you're looking for anime similar to Atama no Ue no Pesu, you might like these titles.
Bow is a stray bull terrier with a distinctive black circle around his left eye. After being adopted by the daughter of a not-so-cool yakuza (Japanese gangster) family, his silliness often turns the house upside down, but the "boss" can barely do anything because Bow is now the pet of his adorable daughter.
In Mametsubu-cho, a town somewhere in the ancient Japanese city of Kamakura, Ochibi-san lives a relaxed, easy life. With his friend Nazeni the dog, Jack the naughty kitten, and Pankui the hungry dog, Ochibi-san's year in Mametsubu-cho is filled with encounters and new discoveries! Flower-viewing in spring, swimming in summer, collecting leaves in fall, and eating yummy food in winter.
Mr. Matsuzawa is a novelist who lives in Chiba Prefecture. Only his daughter Kazuko knows that the family dog, Don Matsugorou, can talk. Don is wounded in a fight with the neighbors' dog, King, a nouveau-riche mongrel with ideas above his station. At the vet, however, he falls in love with a little patchwork puppy called Chotaro.
Based on a series of French picture books that have been translated into over 15 languages, the story follows the happy life of a precious 5-year-old girl and her lazy dog. Her cheeky attitude makes their everyday adventures both cute and funny.
Kimoshiba is a weird type of life form with the shape of an oversize shiba inu, loves eating curry (particularly curry breads), and works at a funeral home. Similar life forms include yamishiba and onishiba.