As far as I know the only hereditary peerage awarded since 1964 was by Margaret Thatcher to Willy Whitelaw, a man with five daughters. This meant the title would die with him, but it was deliberately done to demonstrate that hereditary titles were still constitutional. Mrs Thatcher was then able to award her husband a baronetcy which duly passed to her son.

If anyone knows of another example, I'd be interested to hear it.