The deadly duo already have five campaigns under their belts between them against England's oldest cricketing foes - and in the 170-run Investec Test victory over New Zealand at Lord's, each proved he is at the top of his game.
England bowling coach David Saker said of Anderson: "He is a seasoned campaigner, who knows how to get the most out of his body. He has had some injury problems - that is something that always helps when you know what you are doing and where you exactly want to go. We really hope he can stay on the park for another five or six years."
He added: To me, he is the most skilful bowler in the world. I know Dale Steyn is an outstanding bowler - but when you watch Jimmy and the way he went about things here, he has got more skills than Dale Steyn in his locker. Obviously Steyn is a little bit quicker - but when you watch Jimmy deliver those skills, it is just mind-blowing."
The other wonder about Anderson, for Saker, is that he is always seeking self-improvement.
He said: "Jimmy, to me, keeps getting better. He is the one player I have coached who is never satisfied with what he has got ... and for him, it would be easy to be satisfied. I have never met a guy as good as him who wants to keep getting better."That is one of the reasons why he is as good as he is."
Broad as yet lacks the consistency Anderson has worked so hard to achieve, but has proved several times now that he can be an irresistible force when it is his day. After his man-of-the-match and career-best figures of seven for 44 at Lord's, Saker said: "When he gets everything right, there are not many better in the world.
"You can talk about that spell for a long time, and it was as good as you will see anywhere.
"He has days where he just tears teams apart, and he did it again.
"No one would have predicted what happened. It was a special spell."