Olivia Benson —The special arrives during a milestone year for Hargitay, who has played Olivia Benson since “SVU” premiered in 1999. Which ‘Law & Order: SVU’ Episodes Will NBC Re-Air? Olivia Benson —NBC is going back into the “SVU” vault for three episodes closely tied to Hargitay’s Emmy history. The episode earned Hargitay the Emmy for outstanding lead actress in a drama series in 2006.: Originally aired November 16, 2004. Mariska Hargitay Earned 2 More Emmy Nominations This YearPlayHargitay is not only hosting the ceremony.