Michael Bay has made extensive use (some sites assert he has used it in "all of his movies") of a shot called by many the "Michael Bay Spin". Here's what it looks like:
I first saw this in 1990 in Mel Gibson's Hamlet and it was very impressive (at least to me) at that time. Here's the shot from Hamlet:
At least for Hamlet, the shot was made by building a circular track around the area where Gibson and Bonham Carter are moving. So it's a tracking shot with an unusual track shape.
I can't figure out who was the first director to use this kind of shot. Are there examples of this prior to 1990?