I’ve seen some of those pictures. I don’t recall seeing the birth one, the Omayra Sanchez one, the Power of One, either of the Che Guevera ones, 2Pac, or the How Life Begins one. And I, too, can think of plenty of pictures that I would think are more famous than many of the ones they show there.
I did wonder about the photographers of the starving kid picture and the drowing kid picture. In the first it’s actually stated that the guy took the picture and then walked away. And in the other one, why wasn’t the photographer trying to get the girl out of the debris and water? At least with the kids who had been napalmed, the photographer doused them with water afterwards (for what little good that would do to napalm burns).
Both of the WWII pictures of people raising flags (the one American, and the one Soviet) are sort of hoaxes. The Iwo Jima one shows the raising of the second American flag on the mountain. There is a picture of the first one that I see every now and then; it shows a group of troops standing around the pole while in the foreground another man with a rifle keeps watch. The first flag had been raised something like two hours before the second one, but it was taken down (partly because it was too small, partly because various people wanted it as a souvenier). Then the one in that more famous picture was raised. So it wasn’t really the first flag raised. Of course, the battle was still going on during the second picture, and the mountain still wasn’t secure. If I remember rightly, half the people in that photo were killed within the next couple of days.
The Soviet flag in the Berlin picture wasn’t the original one raised over the Reichstag, either. There was a home-made flag that was raised over the building by a group of soldiers who had fought their way through to the roof, but either there were no good photos of that flag or else the Soviet government didn’t think that the flag was appropriate. The picture on that webpage is of a soldier who was sent to stand on the roof after the battle was over and to wave the flag around for the benefit of the photographer. It wasn’t even fixed to the roof or anything like that, the guy just held it until the pictures were taken. You can tell that the picture was taken after the fighting was all over because it’s daytime (the building was captured in the late evening), and because in the street you can see people casually wandering around.
And of course, the Apollo moon landing one is faked, too. . .