06:55 AM EDT 03/19/2015
Originally posted 05/21/2004 03:30PM
Fame, money, women – you'd think it would be all a rocker needs to get by, but for Lenny Kravitz, it's just too much. The musician – whose every hair style and clothes change is snapped by the paparazzi – sings "I Don't Want to Be a Star" on his new album, Baptism. "You miss the way it was before people were, like, hunting you," he says. But still, there are perks to being a big celeb. Kravitz (who's dad to Zoe, 15, with ex Lisa Bonet) recently chatted with PEOPLE about some of the pluses – including dating Nicole Kidman and living next door to Courtney Love.
Top 5 Most Voted Stories
Zayn Malik and Perrie Edwards End Engagement
Gwen Stefani and Gavin Rossdale Are Divorcing
Gwen Stefani's 'Top Priority Is Making Sure Her Kids Feel Secure' in 'Amicable' Gavin Rossdale Split: Source
Canadian Television Host Chris Hyndman Has Died at 49
Kelly Osbourne Apologizes for Racist Comment About Latino Community During Donald Trump Discussion on The View
Top 10 News Categories
The most buzzed about stars this minute!
Treat Yourself! 4 Preview Issues
More On PEOPLE.com
Got a News Tip?
Send it to our People.com editors!