Final answer:
Dame Judi Dench was the first to become a dame among the listed actresses, receiving her damehood in 1988 for her services to drama.
Step-by-step explanation:
The Dame title is an honor given by the British monarchy to women equivalent to the knighthood. Dame Julie Andrews was the first among the listed actresses to receive this honor. She was appointed a Dame Commander of the Order of the British Empire (DBE) in the year 2000 New Year Honours for services to the performing arts. Dame Judi Dench was made a Dame in 1988 for her services to drama. Dame Helen Mirren received her damehood in 2003 for services to drama, while Dame Angelina Jolie, although an American actress, received an honorary damehood in 2014 for her services to UK foreign policy and the campaign to end war zone sexual violence. Therefore, the answer is (b) Dame Judi Dench.