I view average temperatures as highly suspect as warmer mins do not impress me (how much of that is the concretization of our cities?) so I go by number of hot days (90 degrees or higher), and I specifically refer to JFK as that is closest to my location....they set the record in 2010 for both most number of 90 and 95 degree highs, I think they had 3 100 degree highs, which is 1 behind 1966.
1980 and 1983 were both amazing in terms of sustained heat. I think the summers I'd want to experience again would be 1980, 1983, 1991, 1993, 2002 and 2010. I wasn't born in time for 1966, but I'd love to experience that one too. And the winter that followed also!