Whitch cat doesnt have retractable claws?

If you are talking about domesticated cats the only one that I know of is a Siamese. They have claws that do not fully retract while all other breeds have claws that do fully retract. I hope that is what you were looking for. Non domesticated cats it would be the cheetah. The cheetah has non retractable claws to help it grip the surface it is running on.
Old ones.
none..all breeds of cats, domestic or big cats have them..its what make then cats
A Catterpillar
Cats, like dogs, are digitigrades: they walk directly on their toes, the bones of their feet making up the lower part of the visible leg. Cats are capable of walking very precisely, because like all felines they directly register; that is, they place each hind paw (almost) directly in the print of the corresponding forepaw, minimizing noise and visible tracks. This also provides sure footing for their hind paws when they navigate rough terrain.

Unlike dogs and most mammals, cats walk by moving both legs on one side and then both legs on the other. Most mammals move legs on alternate sides in sequence. Cats share this unusual gait with camels and a very few other mammals. There is no known connection between camels and cats which might explain this.

Like all members of family felidae, with the exception of the cheetah, cats have retractable claws. In their normal, relaxed position the claws are sheathed with the skin and fur around the toe pads. This keeps the claws sharp by preventing wear from contact with the ground and allows the silent stalking of prey. The claws on the forefeet are typically sharper than those on the hind feet. Cats can extend their claws voluntarily on one or more paws at will. Cats may extend their claws in hunting or self-defense, climbing, "kneading", or for extra traction on soft surfaces (bedspreads, thick rugs, etc.). The curved claws may become entangled in carpet or thick fabric, which may cause injury if the cat is unable to free itself.

Most cats have 4 claws at the rear and 5 at their front paws. But because of a rogue gene cats are prone to polydactyly, and some have 6 or 7 toes. The 5th front claw, the thumb, is on much higher position than those of the other fingers. Then even higher, there seems to be a 6th finger, but it is not. This special feature of the front paws, on the inside of the wrists, is the carpal pad, also found on the paws of big cats and dogs. It has no function in normal walking but is thought to be an anti-skidding device during jumping. If present, the 5th claw at the rear legs, corresponding with the big toe, is called the dew-claw.
the fastest cat
not claws -but cleats-
what a cheet!
Hi PJ..the Acinonyx Jubatus or better known as a Cheetah. The cheetah is the only cat with short, blunt semi non-retractable claws that help grip the ground like cleats for traction when running. Their paws are less rounded than the other cats, and their pads are hard, similar to tire treads, to help them in fast, sharp turns.

Source: http://www.cheetah.org/
Of the domestic variety I believe all cats can retract their claws to some degree, except cats that have been declawed- these no longer have claws to retract. Of the large (wild) cat species, you'll find that the cheetah has non-retractable claws. This allows them to get a good grip of the ground beneath their feet and enable to reach speeds of up to 100km/h
Cheetas don't. Cheetas never win.
The cheetah doesn't have retractable claws due to the fact they are used for traction when running down prey.