"Catch-22", bar none for flying sequences alone....
Eat this CGI Boys!!!
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Unfortunately, you couldn't film it today....even if you could scare up the airplanes, the insurance costs alone would be prohibitive.
Joseph Heller, who was a Bombardier on a B-25 in WWII stated repeatedly that this was not an anti-war movie, but rather a comment using dark humor regarding the rise of management bureaucracy and it's impact on the individual. It's not a necessarily a dystopia like "Brave New World" or "1984", but closely follows those themes in that the individual is marginalized to feed the greater good of the state. A natural enough tendency in wartime, and Heller uses that to make his point.
However, because "Catch-22" was released in 1970 it could not help but be associated with the anti-war moment. The movie was also released at the same time "MASH" was, and although critically acclaimed, died at the box office that summer in competition with "MASH", which was an anti-war movie. The book Catch-22 was written in the 1950's and published in 1961, long before U.S. involvement in Viet Nam went beyond just a few advisers.