Benny Goodman, Glenn Miller, Tommy dorsey, Count Baisey, Mel Tormey, Dean Martin just to name a few. I know some crunners are in there but thats also what I like.
Electronic instruments are so much more dynamic than thier accoustic counterparts , and " big bands " went to the wayside. The digital age further seperates us from a group of human beings getting together and creating unique music.
Just remember that there will never be a music trend that comes around from the one that you consider " the best " . New music is created from young , fresh minds that build on the past. I am guilty of holding on to my past , as there were some incredible musicians who have not been " bested " ( my opinion ). May they all be remembered and honored.
Not a " big band " , but perhaps you will like this.
Over the years I have played the flute, trumpet, guitar, bass, and keyboards. I was a natural at the trumpet but it was not "cool" in high school so I gave it up. After high school when I was out on my own I picked up my first electric guitar. I do ok, but I am no where as good as I would like to be or should be.
If a nation expects to be ignorant and free, in a state of civilization, it expects what will never be. (Thomas Jefferson 1816)