This is an interesting set of lists. One is according to critics, before the internet this is who got to say what is and what isn't a good movie.
The second is audience only. No critics.
According to critics:
1 - Citizen Kane 1941
2 - The Godfather 1972
3 - Rear Window 1954
4 - Casablanca 1943
5 - Boyhood 2014
6 - Three Colors Red 1994
7 - Vertigo 1958
8 - Notorious 1946
9 - Singing in the Rain 1952
10 - City Lights. 1930
As rated by audiences:
1 - Shawshank Redemption 1994
2 - The Godfather 1972
3 - The Dark Knight 2008
4 - Godfather II 1976
5 - 12 Angry Men 1957
6 - Schindler's List 1993
7 - Lord of the Rings: Return of the King 2003
8 - Pulp Fiction 1994
9 - Lord of the Rings: Fellowship of the Rings 2001
10 - Good, Bad and the Ugly 1966
The critics list leaves a lot to be desired. Two of them I had never even heard of before.
The audience lists, not surprisingly, has newer films. But I have heard and seen every one of them.
Who got it right the most?
Both. I say this because these list are very different with far different purposes.
The first list, the critics list, are not necessarily favorite movies. It covers a period of 84 years encompassing silent, sound, color, and color+cgi. This list is about the quality of the production, not movie popularity. For example "Citizen Kane" which was a critic's favorite when it was released and has been widely recognized as one of the finest movies of all times was a complete failure at the box office. . Although reviews were favorable, and it was nominated for nine Academy Awards, Welles was booed at that year's Oscar ceremony, and RKO quietly archived the film. It was years before the film was shown again publicly.
The second list is a list of favorite movies, heavy on action adventure and based mostly on box office. This list ignores the first half of the 20th century and is all about movies the public likes.
Your mistake is making an Apples and Oranges comparison.
A critic’s analysis of a movie involves looking at structure and style, making a judgement of its worth by comparison with other films, and an estimation of its likely effect on viewers. A good critic will be able ignore his own preferences in movies and concentrate on the theme, the story, and how well the director tells that story. Do the performances of actors support the theme and storyline or are they just delivering lines and going through the motions? Does the music, visual effects, and camera work to enhance the movie or is it a distraction. In short, the critic is looking for the quality of the production, not whether it will be popular with audiences.
Movie Reviewers are not interested in quality the production but whether audiences will like and pay money to see the movie. The movie reviewer will typically summarize the story and give an opinion often based on the kind movies he likes. His goal is to recommend movies that will be very popular with the public. Unfortunately, many movie reviewers call themselves movie critics.
