No, I haven't gone off the deep end. (I dove off last year, remember?)
I'm talking about these lifesize cat pillow/doorstops from Fiddler's Elbow:
They're solidly made — stuffed with polyester and weighted with plastic pellets. I've seen the black-and-white one in person (in the gift shop at Orchard House, Louisa May Alcott's home in Concord, two autumns ago), and I thought it had a lot of character. In fact, it was so appealing that it may have helped me realize that I needed a real black-and-white cat of my very own.
They make more than a dozen styles, including kittens and some other species. This longhaired tabby is probably my favorite (now that I have my black-and-white cat). The "glossy" black one below is a close second. You can choose yours here and shipping is free.