This is an interesting collection of short stories that involve cats, most of them originally published in the 1950s - 1970s. It features some big names in science fiction & fantasy, including Ursula K. Le Guin, Cordwainer Smith, Gene Wolfe, John Crowley, Randall Garrett, Fritz Leiber, and Stephen King. As with any collection, there's a range of styles, but most of them are serious in tone, not as cutesy as the title might suggest.
One of my favorites is Cordwainer Smith's "The Game of Rat and Dragon," a futuristic tale where human telepaths link up with cats to fend off alien menaces, relying on split-second reflexes, while "planoforming" through the "hollow aching horror of space." Great SF concept, and the story is fleshed out with believable characters and a moving plot.
Another favorite is Ron Goulart's "Groucho," a funny tale about a desperate Hollywood hack whose talented writing partner dies. He goes to bizarre lengths to bring him back -- but the other writer returns as a cat. Things get weirder from there, but the frosting on top is the amusing Hollywood setting and voice.
I also enjoyed Pamela Sargent's, "Out of Place," which explores what happens to the already simmering American suburbs when suddenly everyone can hear what animals are really thinking. It was originally published in The Twilight Zone Magazine, and has that same great vibe.
One more to mention is Randall Garrett's mystery story, "A Little Intelligence." Our main character is the head nun of a future holy order; she's charged with hosting the visiting alien delegation while they try to negotiate an end to the war. But even in the cloister, they're not safe from politics--or violence.
I enjoyed many of the others too. None of these are my new favorite SFF story, but it's a solid collection, and I would recommend it to lovers of classic SFF. Be warned, though, that some of the cats in these stories meet grisly ends.