John Huston's five greatest films, in my opinion (greatest as opposed to favourite, although the films would be the same in a list of favourites, just in a different order):

1. The Maltese Falcon

2. The Treasure of the Sierra Madre

3. The African Queen

4. The Man Who Would Be King

5. The Asphalt Jungle

So, nope, much as I love The Man Who Would Be King, one cannot simply put it ahead of the film that pretty much invented film noir when it comes to discussing "greatest".