Madonna has the biggest- selling Greatest Hits Album ever for a female artist over 20m worldwide sales (estimations):
Rank / WW Sales in million / US sales / EU sales / Artist / Album / Year of Release
1) 26,3 million/11,2/9,02- Madonna- The Immaculate Collection 90
2) 21,7 /9,5/ 5,71- Celine Dion - All The Way… 99
3) 15,8/ 5,6/ 2,77- Mariah Carey -#1's 98
4) 13,1/ 4,2/ 3,63- Enya - Paint The Sky.. 97
5) 12,7/ 6,1 /3,78- Sade - The Best Of 94
Based on: Mediabase & RIAA
selena
Martina McBride has won two Female artist of the year awards in the CMA's. Her "Greatest Hits" album went double platinum.
Whitney Houston, with her 1987 album, Whitney, became the first female artist to have an album debut at number one on the Billboard charts. The album produced six singles.
shania twain
Madonna
The Eagles Greatest hit album was one of their top sellers. The artist who created the cover is not listed in the credits on the record cover itself or online at this point of time.
LiL Kim
Destiny's Child
-The first female artist to win the International Artist Award at American Music Awards ceremony.-The first female artist to have #1 album in US,UK,Europe and World Album charts in the same week with her first solo effort Dangerously In Love.-The first female artist to win 6 Grammy Awards at one night.-The first female artist to have the #1 song (Check on It) and the #1 movie (The Pink Panther) in the same week in the USA.-The first African-American female artist to win ASCAP Songwriters and Entertainer of the Year Awards.That's all I can remember,she has a few more achievements as a first female artist.
lady gaga -the fame
Album: The Immaculate Collection Artist: Madonna Genre: Pop Date of Release: November 9 1990
That would be Carol King on cover of her monster selling album, "Tapestry".