If you're looking for manga similar to Kyou no Sanponta, you might like these titles.
A big, fluffy Samoyed Dog called Potemaru and an office lady named Hitomi live together. They live in an apartment that is roughly 6 tatami big (10 square meters) but the building has a garden, which is used as a dog park. Follow them through their everyday life.
Jiroumaru is an akita puppy who lives in a small village in Ohu with his brothers Saburoumaru and Taroumaru, sister Koyuki and their mother Yuki. Their master, Yoshito Sawamura, is an old gold prospector who is raising his granddaughter Anju. One day, when Yoshito returning to the village with Yuki, he is bitten by a snake and falls into a ravine with the dog. Not seeing them return, Anju started to worry. However, she tries to take care of herself and the puppies.
The manga follows the daily life of a household that has two cats: Azuki and Daizu. Azuki and Daizu belong to an office worker in her 30s who loves cats. The owner lives with her father, mother, grandfather, and older brother, the latter of whom the cats call "Megane" (Glasses). Megane adopted a Shiba Inu dog named Mamenosuke after Mamenosuke's owner died. Mamenosuke grew up around cats so he actually thinks of himself as a cat.
A short gag manga featuring You Higuri herself. It revolves around her utterly cute, mischievous, and ill-mannered puppy Papi, the Papillon.
Zero is a wild dog who is saved by a boy named Taro after making enemies with hunters. Their carefree days of living on the streets are interrupted when Zero undertakes a journey to sharpen his fangs.
Lassie was born in a petstore and sold numerous times, but had not found his true master. Lassie helps a store employee named Asuki and finds the right match. However, he is sold again before Asuki can take her home. Subsequently, Lassie has many adventures trying to be reunited with Asuki.