If you want timeless classic names, look no further than Jane Austen.
Girls:
Elizabeth, Jane, Catherine, Mary, Anne, Marianne, Maria, Julia, Charlotte, Emma, Lucy, Isabella, Eleanor/Elinor, Lydia, Caroline, Frances, Margaret, Susan, Georgiana, Harriet.
Boys:
Henry, Charles, John, William, George, Edward, Edmund, Thomas, James, Robert, Francis/Frank, Frederick.
A few to avoid, too (I imagine) like Fitzwilliam and Walter.