I'm pretty sure I am required by law to start with Fletcher Henderson's arrangement for the Benny Goodman Orchestra:
More after the jump:Here's Glenn Miller on a recording I had not heard before today:
This mid-30s version by the Teddy Hill Orchestra features a young Dizzy Gillespie on the trumpet solos, and is included in the wonderful RCA Gillespie set:
Here's a rare one, Sidney Bechet with the Dutch Swing College Orchester:
The Tetsuya Tatsumi Big Band plays a Gil Evans arrangement of the tune:
Are there any other gems I should know about?