The Eagles were active in the 1970s.
Eagles (band) . With five number-one singles , six Grammy Awards , five American Music Awards , and six number one albums , the Eagles were one of the most successful musical acts of the 1970s . At the end of the 20th century , two of their albums , Their Greatest Hits ( 1971 -- 1975 ) and Hotel California , were ranked among the 20 best-selling albums in the United States according to the Recording Industry Association of America . Their next album , Desperado ( 1973 ) , was less successful than the first , only reaching number 41 on the charts ; neither of its singles reached the top 40 . However , the album does contain what would go on to be two of the band 's most popular tracks : `` Desperado '' and `` Tequila Sunrise . '' Their 1975 album One of These Nights included three top 10 singles : `` One of These Nights , '' `` Lyin ' Eyes , '' and `` Take It to the Limit , '' the first hitting the top of the charts .