The answer to this question is highly subjective, and it depends on who you ask and how you define success. It is impossible to definitively answer this question, but some of the most acclaimed and successful female musicians of all time include Barbra Streisand, Mariah Carey, Celine Dion, Whitney Houston, Beyoncé, Madonna, and Taylor Swift. Each of these women has achieved tremendous success both in terms of commercial success and critical acclaim, and they are all respected and admired around the world.