A review by leesmyth
Rivals of Sherlock Holmes: Forty Stories of Crime and Detection from Original Illustrated Magazines by Grant Allen, Fred M. White, Clarence Rook, L.T. Meade, Robert Eustace, C.I. Pirkis, Robert Barr, Alan K. Russell, Clifford Halifax, Arthur Morrison, Arnold Bennett, Newton MacTavish, Richard Harding Davis, Baroness Orczy, Arthur Conan Doyle, H.G. Wells

4.0

I wouldn't necessarily say these stories feature rivals of Sherlock Holmes, as such. They are crime/mystery stories from roughly 1892-1906 or so; Russell asserts that "Most [...] were originally published while Sherlock Holmes was 'dead'" (i.e., 1893-1901).

I particularly liked "In the Fog" by Richard Harding Davis (3 stories), Arnold Bennett's "The Loot of Cities" (6 stories), and "The Hammerpond Mystery" by H.G. Wells.

My least favorite was the "The Mysteries of Great Cities" series by Baroness E. Orczy (there were 7 of them, and they quickly became predictable), but even that had an interesting premise initially, and the individual stories are quite short.