On September 13, 1993, an unknown 30-year-old named Conan O'Brien began his late-night talk show on NBC. With the magic of YouTube, you can watch the entire first episode right now.
"You Can See Him in the Upcoming Flintstones Movie..."
"Our next guest recently portrayed Amy Fisher..."
And here's a little context to that "there's peace in the Middle East!" joke in the monologue:
On Sept. 13, 1993, Prime Minister Yitzhak Rabin of Israel and the Palestine Liberation Organization chairman, Yasser Arafat, shook hands in a public ceremony at the White House after signing an agreement that granted limited autonomy to Palestine and laid the foundation for future peace talks. [via The New York Times]