According to the editor this two-volume set from 1959, which includes four full-length novels, "is not a definitive anthology ... not a scholarly survey ... not, indeed, any kind of shaped or patterned anthology, but simply a very large collection of stories which are (I think) of high quality and (I hope) unfamiliar to many readers." Thus, along with a number of still-famous stories, there are a few that have never again been reprinted since and have languished into obscurity.
These volumes were ubiquitous for years, beginning 1960, as an introductory selection for members of the US Science Fiction Book Club (editions shown in the photo).
Boucher was a founding editor of
The Magazine of Fantasy and Science Fiction, and produced annual
The Best from Fantasy and Science Fiction anthologies from 1952 to 1959. These two volumes were his last anthologies.
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A Treasury of Great Science Fiction, Vol. 1, (Doubleday, 1959)
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A Treasury of Great Science Fiction, Vol. 2, (Doubleday, 1959)
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Combined Contents by Author and Title
Poul Anderson
Brain Wave
(Ballantine 1954)
-- Vol. #2
The Martian Crown Jewels
(EQMM Feb 1958)
-- Vol. #1
Alfred Bester
The Stars My Destination
(NAL/Signet 1957)
-- Vol. #2
Nelson S. Bond
Magic City
(Astounding Feb 1941)
-- Vol. #2
Ray Bradbury
Pillar of Fire
(Planet Stories Sum 1948)
-- Vol. #1
Arthur C. Clarke
The Other Side of the Sky
(Infinity Oct 1957)
-- Vol. #2
Mildred Clingerman
Letters from Laura
(F&SF Oct 1954)
-- Vol. #2
Richard Deming
The Shape of Things That Came
(F&SF Oct 1951)
-- Vol. #1
Philip K. Dick
The Father-Thing
(F&SF Dec 1954)
-- Vol. #1
George Paul Elliott
Sandra
(F&SF Oct 1957)
-- Vol. #1
Robert A. Heinlein
The Man Who Sold the Moon
(The Man Who Sold the Moon, 1950)
-- Vol. #2
Waldo
(Astounding Aug 1942)
-- Vol. #1
Malcolm Jameson
Bullard Reflects
(Astounding Dec 1941)
-- Vol. #2
C. M. Kornbluth
Gomez
(The Explorers, 1954)
-- Vol. #1
Henry Kuttner
The Children's Hour
(by HK & C. L. Moore)
(Astounding Mar 1944)
-- Vol. #1
Piggy Bank
(Astounding Dec 1942)
-- Vol. #2
Oscar Lewis
The Lost Years
(Knopf 1951)
-- Vol. #2
Judith Merril
Dead Center
(F&SF Nov 1954)
-- Vol. #2
C. L. Moore
The Children's Hour
(by Henry Kuttner & CLM)
(Astounding Mar 1944)
-- Vol. #1
Joel Townsley Rogers
Beyond Space and Time
(All-American Fiction Feb 1938)
-- Vol. #1
George O. Smith
Lost Art
(Astounding Dec 1943)
-- Vol. #2
Theodore Sturgeon
The (Widget), the (Wadget), and Boff
(F&SF Nov 1955 (+1))
-- Vol. #1
A. E. van Vogt
The Weapon Shops of Isher
(Greenberg 1951)
-- Vol. #1
E. B. White
The Morning of the Day They Did It
(New Yorker Feb 1950)
-- Vol. #2
John Wyndham
Re-Birth
(Ballantine 1955)
-- Vol. #1