Nixon resigning. I feel like it should be the 1969 moon landing (I was born in 1962), but my parents did not seem to care much about world events and we did not discuss them at home.
Born in 73. Probably first I remember was 1981....attempted assassination of president Reagan and then, a few months later, the awful story of Adam Walsh. My mother had the news about Adam on all the time and used it as a lesson to be aware of stranger danger. Big news year as I also remember the wedding of Charles and Diana.