Once you select an artist, you should be able to see all of the artist's songs, not just the popular songs. Sometimes you are looking for a song but don't remember it's name until you see it, and it take to much time to browse it albumwise, specially if you are not really a fan and you are looking for just this song.
Divde the artist's front page into: songs, albums, related artists, bio, singles, etc...
The song section is sorted by popularity, as is now, but add a button on the bottom that says "See All Songs >" like in the the album section
Update: This idea has been submitted again here:
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