Following her 1960 debut, Miner appeared on Broadway in "The Milk Train Doesn't Stop Here Anymore" (1963) and "Butterflies Are Free" (1972) (in each as an understudy); the 1973 revival of "The Women"; the 1976 revival of "The Heiress" with Jane Alexander; the 1980 revival of "Watch on the Rhine", by Lillian Hellman; the 1983–1984 Circle in the Square Theatre revival of "Heartbreak House", with Rex Harrison, Philip Bosco, Rosemary Harris, Amy Irving, Dana Ivey, and Stephen McHattie; and the Franco Zeffirelli productions of Terrence McNally's adaptation of "The Lady of the Camellias" (1963) and Eduardo De Filippo's "Saturday Sunday Monday" (1974). Her Shakespearean roles on Broadway included Emilia in the American National Theater and Academy production of "Othello" (1970), starring Moses Gunn; and as Juliet's nurse in director Theodore Mann's Circle in the Square production of "Romeo and Juliet" (1977). Other theater work included "Major Barbara".