Conn, I believe that the greatest of all time was Terry Bradshaw. I think that he was the most accurate passer of all time, often throwing between three defenders to get the ball to Lynn Swann. And in addition, what many people don't know is that he called his own plays. And, of course, he was a winner, winning four Super Bowls.
The other to keep in mind is Otto Graham. He was a little before my time, but no one can top this: He played pro ten years, and played in the league championship game every year.
Bob Griese?
Bart Starr?
Roger Staubach?
Broadway Joe?
We are lucky to see so many first rate QBs right now.