Claim: Eagles (band) made an album called Their Greatest Hits (1971 -- 1975) that was ranked among the 20 best-selling albums in the United States.
Evidence: At the end of the 20th century , two of their albums , Their Greatest Hits -LRB- 1971 -- 1975 -RRB- and Hotel California , were ranked among the 20 best-selling albums in the United States according to the Recording Industry Association of America.