Originally Posted by ovekvam
They do exist, but it is very rare. My Yokohama 008R tires even had different rotational direction on RWD and FWD cars. It had to do with carcass construction.
But you are talking of more specialist tyres, than we'd be getting as OEM on our road cars, if they are both asymmetric and directional, and must be used in pairs. Plus they should be labelled with both outside and direction to be clearly seen, as they are one side of vehicle specific.