Things I liked:
-Hyperlinks to the artist social networking site and advertisement areas (sound cloud, Twitter, YouTube channels)
- Navigation bars that include extra bits about the artists life (merchandise store, videos, discography)
- A 'News' section keeping their fans and readers up-to-date with their lives
- Links to the artists new releases and music videos - encouraging downloads (typically off iTunes) and keeping fans current
- 'Subscribe' links allowing fans to get further in sites if they wish
- A quirky and personalised aesthetic to the web page to ensure the site is special to the artist and creates an appropriate feel (often linked to the newly released album cover from the artist)
Birdy - http://officialbirdy.com/
Lily Allen - http://www.lilyallenmusic.com/
Passenger - http://passengermusic.com/