That’s St. Paul’s Chapel (part of the parish of Trinity Church) in 1901. The tall building on the left is the 1897 St. Paul Building (named after the church but not otherwise related to it); the one on the right is the 1892 Mail and Express newspaper. Both were part of my early-skyscraper study in The Structure of Skyscrapers.
OSE has worked on the chapel. The ivy is long gone, and the spire, despite appearances, is sheet metal and timber.