You can download music from similar artists, use for example this url: www.last.fm/listen/artist/Nas/similarartists. Or music with the same tag like www.last.fm/listen/globaltags/rap.
Unfortunately, Last.FM is only working in the United States, United Kingdom and Germany. All other users have 30 songs for free. If you live outside the United States, United Kingdom and Germany, you can use Anchor Free Hotspot Shield vpn software to fake your location.

You can download Madonna from GrooveShark even if you live in a banned country like Germany. You don't need an GrooveShark.com account to download music.

Just enter the artist name like Madonna to download all mp3 songs from Madonna. You don't need an vkontakte.ru account to download music.

All downloaded files are named like 'Artist - Title.mp3'. ID3 tags are automatically generated. If you check the 'Deep folder layout' option, the files are stored as '\Artist\Album\Artist - Title.mp3'. You can choose whether cover images should be downloaded.