First off, to those not in the radio &/or TV biz, "Backtiming" is when a piece of music or song starts at a certain time in order to finish at an exact time, or "mark".
In radio, some songs (especially on satellite-fed networks) are backtimed so the songs end EXACTLY at the top of the hour, or 5-10 seconds before to allow for a legal ID.
Anyhoo, back to game shows:
What shows would start rolling their theme music so that the music's ending would match the official ending of the show? And which shows did it "all-natural" -- without switching to a second music source which provided the last few seconds of the theme, like "Bullseye" often did?