My favorite Rebbe has an opinion on everything. If a kid can't play with a toy in the shape of a cat, I guess you can't own a cat.
The Seventh Lubavitcher Rebbe, Menachem M. Schneerson (d. 1994), leader of Chabad Hasidism, was opposed to Jewish children playing with toys or pictures in the shape of non-kosher species of animals. (A cat is not kosher.) He wrote: "Because what one sees leaves lasting impressions, especially on young children, the toys that a child plays with, and the pictures that he looks at, should not be of impure animals.">
My favorite Rebbe has an opinion on everything. If a kid can't play with a toy in the shape of a cat, I guess you can't own a cat.