If you're looking for anime similar to Junji Ito's Cat Diary: Yon & Mu, you might like these titles.
What's Michael? Michael is a cat. A cat that is inexplicably attracted to the smell of raw fish, yet horribly repulsed by the smell of toothpaste. A cat that, in a dogfight with a fly, will strafe his master in her sleep. In short, Michael is a cat like any other cat.
A lady lives a quiet life with her two loves: alcohol, and her many cats. She’s had many of the latter over the years including an oft-grumpy Scottish Fold mix and Poko, an orange ball of energy who was abandoned as a kitten and saved to live another day. Whether the kitties are playing with cotton gloves, getting to know each other or causing mischief, they and the lady live happily together.
The manga 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.