teresting because there are those who think the early 60s was the low point for American films. Not me. By the way there's a really good documentary on Pauline Kael on Amazon Prime. Despite disagreeing about almost every film ever made I enjoy her writings enormously. I bring this up because...
Although 1939 is generally accepted as Hollywood's Greatest Year, and there's an excellent new book out that makes the case for 1962, I still think 1957 should have that title . In addition to the films you mention, I'll add ;
The Bridge on the River Kwai
12 Angry Men
Sweet Smell of Success...