I'm told I watched it...but I was less than a year and a half old so I don't remember that.
I did once get to speak to his cohort, Buzz Aldrin, at a space convention here in Phoenix some years back (though I don't recall what was discussed, as I was not prepared and was rather awestruck and mindbuzzed, probably sounding like an idiot). Never met Armstrong, though.
As a side note:
I was speaking with a coworker about his death today, and a couple of other people nearby (perhaps half my age) said "Who?" in response to his name, and when I repeated it they had never heard of him. When I briefly said he was the first man to land on the moon, one of them said "you mean he just got killed up there? Was it aliens?" and the other said something like "When was taht? I didn't know we ever sent anyone to space".
Really, there's a lot of things I don't expect most people to know...but somehow that we actually did (and still do) go to space, is not one of them.
For the rest of the day, I brought it up with as many people as I had any chance to (perhaps a dozen), of ages from twice my age (44) to a group of four college kids that are probalby only 18-19, and only one person (the oldest) actually knew who NA was and what he had done. Two others didn't know him by name but did remember the moon landings in the early 70s. The rest did not even know we had landed on the moon at all, though a couple of them knew about the ISS and/or shuttle; some didnt' even know we had the ability to go into space "like the guys in starwars" as one person put it.