One of the early scenes in the Doctor Who 50th anniversary episode took place in Trafalgar Square. The location was also used prominently in the second Dalek story, "The Dalek Invasion of Earth", in 1964.
The anticipation for tonight's 50th Anniversary episode of Doctor Who extends across the globe but, in the 1960s, the hysteria was just as intense, albeit a bit more local, as this photo from the '60s shows.