I love threads like this.
I, too, was only 6 months old when JFK was killed, though I do remember where I was when we heard that RFK had been killed: in my parents' livingroom watching something, I don't recall what. Oddly, for years, I confused when and where I heard about RFK and MLK because I was essentially in the exact same place at about the same time of day.
Other significant events I vividly recall:
1. the evacuation of Saigon - staying with my grandparents at the time;
2. Nixon's resignation - I seem to recall that it interrupted some TV show I wanted to watch (maybe Star Trek?)
3. Elvis's death - also in a car, as someone else said, and I too remember my mom bursting into tears.
4. Reagan being shot - it was my 18th birthday, and some friends and I had gone to my house for lunch (and a little "liquid libation" - yeah, we was bad) and the girls had the TV on to watch some Soap Opera, and they cut in to tell us.
5. Challenger - I was in college in a history class. I remember hearing someone run screaming down the hall outside the room something like, "Oh my God it blew up, it blew up, they're all dead, it blew up!"
6. the Berlin Wall falling - I was in law school, and I remember my housemates and I sitting in the livingroom of our apartment captivated by the TV. For us all, the wall had always been. It was amazing to see it come down.
7. World Trade Center - I was standing in line at a Staples paying for something I'd purchased before going to my office, when a woman came out of their back room saying that a plane had flown into the World Trade Center. We all thought she meant a small plane; some horrible accident, but on a smaller scale. When I got to my office, my colleague had pulled out this little 5" B & W TV he kept in his desk drawer and a bunch of us huddled around that and were watching in shock at what had really happened. Then, our video imaging people had just set up a larger color TV in our conference room and turned it on just in time for us to see the second plan hit. At first we thought they were replaying the first hit from a different angle. Then we realized what had happened.
I think that's enough for now.