My dream cats are the kitties we rescued.
The people at the shelter said that Coda, our female tabby, appeared to be half Abyssinian, which seems possible from what I've seen and read about Abys given her physique and temperament, but she was picked up as a stray by Animal Control, so there's no way to really know.
Our other cat is a large grey-and-white (tuxedo-type markings, except he's grey instead of black) shorthaired male.
Our kitties may just be "plain old moggies," but I think they're both beautiful cats, and their personalities are fantastic. I don't think I could ever justify spending loads of money on a fancy breed of cat when there's so many wonderful cats in shelters or on the streets.