Found - a not unamusing joke book Political Jokes of Leningrad by Arie Zand. (Published by Silvergirl, Austin, Texas 1982 - many thanks.) The jokes are now slightly dated, the best are about Brezhnev. There is a persistent theme of a fear of a Chinese takeover and the Bulgarian joke presumably reflects the way that Bulgaria was then viewed by Russians. The last joke is not exactly a rib-tickler and is slightly surreal...
A special commemorative stamp with a picture of Brezhnev has been issued. It is a fine likeness, yet there have been many complaints that the stamp does not stick on envelopes. An extraordinary commission was formed to investigate these complaints. Their findings corroborated the widespread suspicion that the stamp would not stick because people were spitting on the wrong side.
An international group of biologist had just completed a cooperative study of elephants in Africa. Upon their return to their respective countries each member of the group reported their findings. The German scientist wrote 10 volumes entitled: 'A Short Introduction to the Science of Elephants Observed in their Natural Habitat.' The French representative's work: 'The Sexual Life of Elephants.' The Russian: 'The Marxist Interpretation of Elephant Science.' The Bulgarian: 'The Bulgarian Elephant as the Loyal Companion of the Noble Russian Elephant.'
An American and a Russian argue about which country has more freedom. The American says: "I can walk in front of the White House and shout, 'Down with Carter,' and not one thing will happen to me."
The Russian, on the other hand, boasts: "I also can walk in front of the Kremlin and cry,'Down with Carter,' and nothing will happen to me either."
During one of their telephone conversations, Brezhnev confided of President Carter: "Can you imagine that last night I had the strangest dream: A great red banner was flying on top of the White House, and the letters on the banner said, in Russian: LONG LIVE COMMUNISM." Brezhnev laughed and wondered aloud, "What could that have meant."
"I don't know," said Carter, "but I have dreams like that too, sometimes. Why just last night I dreamt that there was a tremendous red banner over the Kremlin, but I couldn't read what the letters said."
"Why not?" asked Brezhnev.
"Well, I can't read Chinese," Carter replied.
An artist-modernist walked quickly into the museum. He was followed by two specialists on the arts, plain-clothed.