Aside from Buster Keaton's stunts lot of that is just early filming of vaudeville. Little of it was new and viewer would have been familiar with most of it from the stage. The later stuff dips it's toes in to comedy but barely gets wet. Take your examples of Singing in the Rain and Annie Hall, sure there is some comedy in both films but that is not the point of the film.
No Brooks, no Python, it's hard to take those lists seriously...