Aimée Osbourne doesn’t regret her decision to not appear on her family’s MTV reality show, “The Osbournes.” The show, which aired from 2002 to 2005, featured her parents Ozzy and Sharon and her younger siblings, Kelly and Jack. "For me, I had grown up around having a pretty well-known dad anyway, and I always really valued my privacy within that family," Aimée, 36, said in an interview with Q1043 New York radio.