The opening scene to Apollo 13 (1995) features a party in Houston with NASA dudes as they gather around the television and Walter Cronkite announces as Neil Armstrong takes his first step on the moon. ( On YouTube )
I was not at that party, but I was at a party in Houston with NASA dudes as we watched the very first moon landing. My dad was a mission control guy with the black horn-rimmed glasses, white shirt and black tie, but Apollo 12, not 11 (Neil Armstrong) or 13 (the one that blew up and barely made it home).
I couldn't walk yet, and I got that the space man on the screen was super important, but at the time I was missing a whole lot of context. The blanks would fill in with time, since the US was super proud of that moment. It's my very first memory.