Speaking of jokes for our time:
Q: What is the main difference between succession under the tsarist regime and under socialism?
A: Under the tsarist regime, power was transferred from father to son, and under socialism – from grandfather to grandfather.
Also on point:
A man walks into a shop and asks, "You wouldn't happen to have any fish, would you?" The shop assistant replies, "You've got it wrong – ours is a dairy shop. We don't have any milk. You're looking for the fish shop across the road. There they don't have any fish!"
Although my personal favorite...
In Soviet Russia, everyone gets the joke!