In a review of her 2002 Radio City Music Hall concert, Stephen Holden of "The New York Times" described Peters as "the peaches-and-cream embodiment of an ageless storybook princess... inside a giant soap bubble floating toward heaven. A belief in the power of the dreams behind Rodgers and Hammerstein's songs, if not in their reality, was possible." Peters made her solo concert debut at Lincoln Center in New York City in 2006. Holden, reviewing this concert, noted, "Even while swiveling across the stage of Avery Fisher Hall like a voluptuous Botticelli Venus in Bob Mackie spangles... she radiated a preternatural innocence... For the eternal child in all of us, she evokes a surrogate childhood playmate". Peters was the headliner at the 2009 Adelaide Cabaret Festival in Adelaide, Australia. The "Sunday Mail" wrote that Peters showed "the verve, vigour and voice of someone half her age."