High Quality Content by WIKIPEDIA articles! Their Greatest Hits (1971–1975) is a singles compilation album by the American rock band Eagles, released in 1976. As of November 2012, 29 million copies have been shipped in the domestic market, making it tied with Michael Jackson`s Thriller as the best-selling album in the United States. With an additional 13 million internationally, for a total of 42 million, it is one of the top-selling albums in music history.