So this isn't 1960s per se, but I think that may have been when I first saw "Gone With the Wind".
Olivia de Havilland just turned 102 on July 1st. I think she may be the oldest living Hollywood celebrity, followed by Kirk Douglas at age 101, then Carol Channing (97) and Betty White (96).
I don't think I have seen any of her movies other than GWTW, but what a performance!
Happy 102nd Birthday!