Here are some rare and exotic-looking cat breeds that are known for their low-shedding qualities:

1. Bengal: With their wild appearance and striking coat patterns, Bengals are highly sought after for their unique look and minimal shedding.
2. Russian Blue: Known for their short, dense, and plush blue-gray coat, Russian Blues are not only elegant and exotic-looking but also shed relatively less compared to other breeds.
3. Siamese: With their sleek bodies, almond-shaped blue eyes, and short coat, Siamese cats are another low-shedding breed with an exotic appearance.
4. Sphynx: The hairless Sphynx is one of the most exotic-looking cat breeds, and due to their lack of fur, they hardly shed at all.
5. Cornish Rex: With their distinctive curly coat and slender body, Cornish Rex cats are an exotic and low-shedding breed.
6. Devon Rex: Similar to the Cornish Rex, the Devon Rex has a unique wavy coat and large ears, giving them an exotic appearance while also being low-shedders.
7. Oriental Shorthair: Closely related to the Siamese, the Oriental Shorthair is a striking and low-shedding breed with a wide range of coat colors and patterns.

Remember that even low-shedding cat breeds still require regular grooming and care to maintain a healthy coat and minimize hair around the home.

Enjoy your new furry friend!