I do remember my mother being dreadfully upset about the Cuban missile crisis, though I don't remember the story, I think that was late 1962, and also TV news coverage of the extreme snow over that winter, 1962/3, though not a specific story about it.
The Daleks appearing in Dr Who in 1963, utterly terrifying.
Later on, the awful Aberfan disaster in 1966... England winning the World Cup...
Marion Coakes and little Stroller winning a silver medal at the Mexico Olympics in 1968.
Paul McCartney marrying Linda, Woodstock, the moon landings, 1969.
I love nostalgic threads but it's sad remembering some of the terrible stories seared on our childhood memories.