Leonid Brezhnev's son was reported to have owned a Ferrari during the late 60's, early 70's. When your father runs the show, there are privileges that are not available to the common man.
In the early 70's, someone was seen driving an Alfa Romeo 8C2900B in Moscow. For anyone who doesn't know what an Alfa Romeo 8C2900B is, it is a high performance sports car that was also used for racing in the late 1930s, and they were built for Alfa Romeo by Enzo Ferrari. Phil Hill was even racing a 1938 8C2900B in California in the early 1950s.