Purim
There is a tale in the Hasidic Chabad movement that supposedly Joseph Stalin died as a result of some metaphysical intervention of the seventh Chabad leader, Rabbi Menachem Mendel Schneerson, during the recitation of a discourse at a public Purim Farbrengen. Stalin was suddenly paralyzed on 1 March 1953, which corresponds to Purim 1953, and died 4 days later. Due to Stalin's death, nationwide pogroms against Jews throughout the Soviet Union were averted, as Stalin's infamous doctors' plot was halted.
Nikolai Bukharin
According to Zhores and Roy Medvedev in "The Unknown Stalin" (2006), Bukharin's last message to Stalin stated "Koba, why do you need me to die?", which was written in a note to Stalin just before his execution. "Koba" was Stalin's "nom de guerre", and Bukharin's use of it was a sign of how close the two had once been. The note was allegedly found still in Stalin's desk after his death in 1953. This anecdote has been disputed due to inconsistencies in its reporting from various sources, however, particularly by professor Grover Furr.