Peters was nominated for Emmy Awards for her guest starring roles on "The Muppet Show" (1977) and "Ally McBeal" (2001). On "The Muppet Show", Peters sang the song "Just One Person" to Robin the Frog. She was one of the Muppets' guests when they hosted "The Tonight Show" in 1979, again singing "Just One Person" to Robin, and she appeared in other episodes with the Muppets. Peters was also nominated for a 2003 Daytime Emmy Award, Outstanding Performer in a Children's Special, for her work in the 2002 made-for-television movie "Bobbie's Girl". She won the 1987 "CableACE Award" for her role as Dot in the television version of "Sunday in the Park with George".