JAMES BOND, with two double bourbons inside him, sat in the final departure lounge of Miami Airport and thought about life and death.
Goldfinger, Chapter One
Goldfinger begins with James Bond at the Miami Airport, drinking bourbon following an unpleasant assignment in Mexico.
There has been an airport on the current site of Miami International Airport since the 1920’s.

It is the largest connection in the United States south to the Caribbean and Latin America, which is how Bond found himself there. Some early airlines which were prominent there included Pan American, Eastern Airlines and National Airlines.
Here is a good look back at the history of Miami International Airport. It has many vintage photos of the era when Bond visited.
Here is some 1960 footage from inside the Miami Airport: