Torbie isn't a breed. It's a coat pattern that combines a tortoiseshell's patches of black-based and orange-based color with tabby stripes, swirls or spots, often with the tabby M on the forehead. Colors include brown, dilute blue-and-cream and silver, and a torbie with lots of white is sometimes called a caliby. Nearly all torbies are female, because the orange color gene sits on the X chromosome.
Most torbies in shelters are domestic shorthairs or longhairs, though the pattern shows up in many purebreds too. Owners often describe them as spirited and affectionate, but there's no good evidence that coat color shapes personality. Torbies range from shy to outgoing, so spend time with a cat before deciding. Moderate shedding means regular brushing, and most live 12 to 18 years, so adopting one is a long commitment.