Draper received a Writers Guild Award nomination for the episode "Nat is a Stand-Up Guy" in the section of Children's Episodic and Specials in 2008. The following year, in 2009, the TV movie Polar Bears won Draper a WGA for Children's Script — Long Form or Special; it was the only one nominated in the category. In 2007, Nat was nominated for Best TV Actor at the Nickelodeon Kids' Choice Awards in the United Kingdom. Moreover, the adult Wolff and his sons received a Broadcast Music, Inc. Cable Award for their work on the show's music. In 2008, the series' cast performed at the KCAs in United States; the following year, Nat was nominated for Favorite TV Actor.