That Mitchell and Webb Look/WMG

The robots in the Battlestar Galactica parody are Cheezoid's descendants.

 * The "Replidroids" are a similar "clunky Robot Buddy" shape, have the exact same Computer Voice, and are just as hopeless at the job they're designed to do. Apparently the designer carried on with his attempts at robot design and got a bit better at it.

The Quiz Broadcast is set after the end of Threads

 * The Event occured after the nukes, which is how most of our history was lost about three years after The Event. Sex became less dead-freak-baby-making and more vomity, and The Event created Them.

Numberwang is rigged.

 * That's why Simon always wins.
 * Alternatively, the name 'Simon' is itself numberwang.

The nuclear explosion at the end of the Blah-Blah-Blah "Get Me Hennimore!" sketch is the beginning of The Event.

 * It would make sense for a nuclear explosion in England to start off nuclear war, thus leading to the apocalypse, especially if it all began in England.