Chi's Sweet Home

A grey and white kitten with black stripes wanders away from her mother and siblings one day while enjoying a walk outside. Lost in her surroundings, the kitten struggles to find her family and instead is found by a young boy, Youhei, and his mother. They take the kitten home, but pets are not allowed in their housing complex, so they try to find a new home for the kitten. This proves to be difficult, and the family eventually decides to keep the kitten, naming her "Chi". (Source: Wikipedia)

Neko nanka Yondemo Konai.

The series focuses on a professional boxer who chooses to become a manga artist after sustaining an injury. The man takes in two cats: Kuro, who is very timid, and her younger sister Chin. (Source: Livechart)

I, Tsushima

The story centers on a woman who is getting on in years, but all her cats think she's a man so they call her Ojii-chan. One day a brazen cat named Tsushima appears in Ojii-chan's yard.

I, Tsushima (ONA)

Web anime of Ore, Tsuhima</i> that is concurrently released during the TV shorts' broadcast, streamed on the Asmik Ace YouTube Channel. One day, “Ojiichan(woman)” who likes cats meets a talking(?) cat on the street! The name of the brazen cat who was originally a stray cat is “Tsushima.” “Zun,” Ojiichan’s house cat, “Chaa,” who’s spoiled and cowardly, and “Osamu,” a self-centered gangster cat have already been living in Ojiichan’s house, and Tsushima now lives together with them in peace. Wanna take a look at the wild life of Tsushima and Ojiichan that’s filled with love for cats? (Source: YouTube video description)

Psycho Nyanya

Nyanya is a psychotic orange cat with only one thing in mind: escape! Determined to keep his owner Young-Sook from getting him neutered, he concocts one crazy scheme after another in hopes of liberating himself from her apartment and finding a cute female cat to be his girlfriend. Willing to do anything to save his nads, the big-headed cat terrorizes Young-Sook night and day. But no matter how much annoyance, abuse, and property damage she's forced to endure, Nyanya will always be her beloved pet - for better or worse!

Nyanbo!

The "Nyanbo" are creatures with square bodies with ears and tails that came to Earth from outer space. There's Tora, who dreams of repairing their broken UFO and returning to space, as well as his sister Kotora, the precocious Shiro, the mischievous Mike, the mysterious Kuro, and many more. All of these Nyanbos are now happily living much like cats, free-spirited and sometimes getting into trouble, in places that humans don't know about. (Source: Crunchyroll)