In 2012, New Dramatists, an organization that supports beginning playwrights, presented Peters with their Lifetime Achievement Award, stating: "She has brought a new sound into the theatre and continues to do so, in surprising and miraculous ways. By some sleight of magic, her singularity always manages to bring out the best and richest in the work of her composers and writers." In 2013 the Drama League gave Peters its Special Award of Distinguished Achievement in Musical Theatre Award for "her contribution to the musical theatre." Peters was the Centennial Honoree at the Drama League Centennial Gala in 2015. A musical tribute was presented by many of Peters' costars over the years, including the original and current casts of "Dames at Sea". The League said that Peters "exemplifies the absolute best of what American musical theater can be."