She is best known to Western audiences as Danka Dresner in Steven Spielberg's 1993 film Schindler's List.

Her most important role came in 1993 when she was cast as Danka Dresner in Steven Spielberg's film Schindler's List.

In 2000, she portrayed a prostitute named Lili in the film Boys Don't Cry, after which she did not appear in movies for the next 10 years.

That year, she won season 10 of Poland's Dancing with the Stars with professional Rafał Maserak.

Mucha competed in the 10th season of Polish Dancing with the Stars – Taniec z gwiazdami with professional Rafał Maserak, and was voted the winner in the final.