You might be curious about the stories by the authors listed, so here are the titles: "Lida" by Charteris, "The Mystery of Hunter's Lodge" by Christie, "The Gutting of Couffignal" by Hammett, "Twenty-Dollar Debt" by Treat, "The Smiling People" by Bradbury, and "It Comes off Sometimes" by Cheyney.
No editor is credited, but this must be a Donald A. Wollheim project. Wollheim's the one who put together the Avon Science Fiction Reader and the Avon Fantasy Reader, too, along with The Girl with the Hungry Eyes, also from Avon and the first anthology of original SF stories. Wollheim later went on to work for Ace Books, where he came up with the great Ace Doubles line before founding his own DAW Books. It would be hard to overstate his influence in the SF field, but we shouldn't misunderestimate his work for us crime fiction readers.