The 'I'm Outta Love' singer - who filed for divorce from her husband Wayne Newton, in April citing irreconcilable differences - is currently single and would love to get up close and personal with the Hollywood star.
When asked who she secretly has a crush on, Anastacia replied: "I wouldn't turn down Johnny Depp - he's hot!"
She said: "James Blunt is the latest addition to my phonebook. We met on a plane and a 12-hour flight was enough to make us friends."
Anastacia - who overcame breast cancer in 2003 - spoke about how she coped with her cancer diagnosis, revealing she went on a huge shopping spree when she was given the news.
She said: "I bought a £65,000 Franck Muller diamond watch when found out I had cancer, as I didn't know where life was going. If I was going to go out, I was going to go spending!"