If you're looking for manga similar to Shibawanko no Wa no Kokoro, you might like these titles.
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.
Veritas, a novelist's big dog, found two abandoned kittens on his walk. He couldn't leave the poor kittens alone, so he took them back to the house. Now the kittens are eating Veritas' food and drinking from his water bowl, but at least they're back to health. But can Veritas hide the kittens from his master? A cute and cuddly story between a big gentle dog and two naughty little kittens.
Fukumaru is a big, unusual-looking cat who has spent a long time sitting in the pet store waiting for a home. He's almost a year old, and the shop's customers only seem to want tiny kittens. Then one day a miracle happens - an older man comes along and takes him home! Thus begins the heartwarming everyday life of a cat who only wants to be loved and a lonely man who is delighted to give him the love and happiness he deserves.
Wansa-kun, is a puppy who was sold for pittance and escapes. He spends the series searching for his mother.
When the Twolegs destroy the warrior Clans' forest home, ThunderClan deputy Graystripe is captured trying to help his comrades escape! Trapped in the pampered life of a kittypet, Graystripe gets all the food and shelter he needs from his affectionate Twoleg family—but the forest is calling him. When he makes friends with a feisty kittypet named Millie, she encourages him to go in search of his lost friends. But will Graystripe ever find his way back to the Clan?
Newleaf is coming, and Leafstar is proud to see SkyClan thriving under her leadership. The woods are brimming with prey, the warriors’ den is full, and Leafstar is expecting kits of her own. But a stranger is lurking near SkyClan’s territory, and Leafstar’s newborn kits—and the rest of the young Clan—could be in serious danger.
Ravenpaw has settled into life on the farm, away from the forest and Tigerstar's evil eye. He knows that leaving the warrior clans was the right choice, and he appreciates his quiet days and peaceful nights with his best friend, Barley. But when five rogue cats from Twolegplace come to the barn seeking shelter, Ravenpaw's new life is threatened. He and Barley must try to find a way to overpower the rogues—before they lose their home for good.