???: "Peter Mandelson is a hom… owner"
Regular guest: "Why can't gay people own homes?"
Host: "Well, new Director General, let's see if that goes out."
At the time, and I'm pleasantly amazed how fast this has changed, being gay and in charge was still mildly scandalous in the eyes of tabloids, and that was about the same time the age of consent was equalised.
However such (entirely valid) reasons for respecting privacy should be for all, but as far as I remember Mandelson was the only person who got to keep that particular secret.
Conversely, right after the referendum someone said the BBC should play "God Save The Queen" at the end of the day's programming in concordance with the departure from the EU, and Newsnight responded with this, which is still up on their official channel: https://youtu.be/WwsQ_5Wm4oo