I was 3 months into a 15 month stint in VN. I was up near Hue. I have no recollection of the moon landing. We had no access to Armed Forces Radio and Stars and Stripes (newspaper) rarely, very rarely, reached us. It was probably just another day.
On Christmas day, the Bob Hope USO show appeared at our 101st Airborne base camp. And he brought along Neil Armstrong. I was struck by how incredibly shy and nervous he was. He kept wringing his baseball cap like a dishrag and giving very short answers to Hope's questions.
A few years later I got itchy feet and went hitchhiking for awhile (well, about 4 years, actually). I spent a lot of time in rural Africa and can't even estimate how many times I was asked "You are American? Do your know Armstrong, the moon man? Is he a member of your tribe?"