Re: Was there ever a cross between a cat and a rabbit?

I'm sorry to say that no: there has never been a successful cross between a cat and a rabbit to produce a living hybrid, or "cabbit." Unfortunately, the production of a hybrid mammal requires a great deal of genetic homology between the parents, such that hybrids between two species of the same genus are often sterile or nonviable. A viable cross between members of different orders, in this case Carnivora and Lagomorpha, would be impossible without extensive genetic engineering that is still decades away. The closest modern science has come to this is in the field of hybridomas. Hybridomas are cells formed by the fusion of a normal cell with a tumor cell to generate a culturable cell line that (hopefully) maintains enough of the characteristics of the normal cells to be interesting to study (after fusion, the hybridoma randomly ejects its redundant chromosomes, so the resulting cell only has parts of each original genome). Originally, hybridomas were confined to mouse cells, but with some successful attempts at making mouse/rat hybridomas, researchers moved into some more exotic combinations. The closest anyone has come to your cabbit was a rabbit/hamster hybridoma, although again lagomorphs and rodents are very closely related compared to carnivores. The only other way I could think of to produce a "cabbit," would be to surgically alter either a cat or a rabbit, though I would argue that it would still not be a cabbit, any more than Ringling Bros. had a real unicorn. For now, the closest we can come to a cabbit is Ryo-Ohki from the Japanese animated series, "Tenchi Muyo."