Howard Dell, a former actor, sportsman and Olympian, was diagnosed with Wilson's Disease in 2006. He is a former professional football and basketball player, and is also a nationally ranked decathlete in the USA, despite having been born in Canada. As an actor, he has made appearances in a number of TV shows, including That 70s Show, LA Heat and The Young and the Restless. After his diagnosis, he received a liver transplant which saved his life.
That is the only example that I have been able to find of a well-known person who has suffered from Wilson's Disease. However, since Wilson's Disease is an unusual condition, it is likely that it is often misdiagnosed. There could be many other examples of famous people who have had this disease, but been told that their problems were caused by a different condition.