Doing donuts isn't particularly russian, but a universal behavior among young males*, one which I just happened to have run across recently in a russian tube:
(@2:36)
Now, someone may wish to quibble with the adjective 'universal', but it appears that it is widespread, not only geographically, but even temporally. Even before the internal combustion engine, even before wheeled vehicles, one could hope to impress the "ladies" with a well-executed drift:
(@3:15)