I'm glad to see one Edinburgian included – Dr. Andrew Walls, who has contributed much to our knowledge of missions history. Here's the list:
1. A History of the Christian Church, Williston Walker
2. Here I Stand: A Life of Martin Luther, Roland Bainton
3. The Burning Heart: John Wesley : Evangelist, A. Skevington Wood
4. The Missionary Movement in Christian History: Studies in Transmission of Faith, Andrew Walls
5. The Next Christendom: The Coming of Global Christianity, Philip Jenkins
See the Christianity Today article.