How about ammending that question with "that you saw play?".

Roger Staubach, hands down....and that covers 45 years worth of QBs. The amazing thing about RS was that he spent what could have been some of his best NFL seasons pulling his tour of duty with the Navy. That makes what he did all the more impressive. Walt Garrison, former Cowboys running back talks about Roger's drive to be the best in his book "Once A Cowboy". He said that no matter what anyone else did, Roger tried to do more. 100 sit-ups? Roger would do 125. 100 push-ups? Roger would do 125. While Roger was definitely not the most gifted athletically speaking, he made up for it with heart. The fierciest competitor I've ever seen. He was a presence on the field, and a leader in which his coaches, players, and fans had all the confidence in the world to do everything he could to win the game. Roger hated losing with a passion, which is why he was such a winner. If his career hadn't been shortened by the fact he did spend those first eligible years in the Navy, and the fact that his many concussions led his wife to demand "No more" and cause an early retirement, he would probably hold every QB record worth keeping.