Got you beat, the Soviets had about a 1% unemployment rate.....and where are they now? Lets talk the industry/pay of those jobs not just the job numbers.
By the way, we have a 5 % unemployment in comparison to the other industrial market based economies (>10 % in France, Germany). It is true, by comparison, that Cuba and Commie Russia had 1 % rates, but they also had virtually worthless currencies with no goods on the shelves to buy, so its Apples and oranges, again.
I bet you that the North Koreans have 1% unemployment also with their closed and centrally planned economy economy. Of course they also don't have any electricity.