Rebecca and Sarah are still in common use for babies - they're both in the top 100 for 2011 anyway.
I don't know if they're classic or not but names I haven't seen on anyone under 13 for a long time are:
Amanda, Angela, Barbara, Brenda, Belinda, Caroline, Clarissa, Celia, Diana, Erica, Frances, Freda, Gloria, Gwendoline, Heather, Irene, Julie, Janet, Jane, Jean, Joan, Laeticia, Marjorie, Maureen, Monica, Muriel, Patricia, Pamela, Prudence, Ruth, Rita, Susan, Shirley, Sandra, Theresa, Ursula, Veronica, Virginia, Winifred, Wilhemina, Yolanda, Yvonne, Yvette.
Alistair, Nigel, Norman, Ian, Frank, Gareth, Graham, Colin, Derek, Darren, Martin, John, Timothy
I think boys names are a) less numerous anyway and b) don't go out of fashion so much