Dr Who and the Daleks sweet cigarettes were 1964 tie-in food products manufactured by Cadet Sweets.
Though one of the first perishable goods associated with Doctor Who, memory of the product has persisted, thanks to the fact that its packages contained collectible trading cards that told a story titled Doctor Who and the Daleks.
Despite the name, it was not a tie-in with the feature film Dr. Who and the Daleks, which was at the time still a year away, but rather with season 1 of Doctor Who. Also, they were not "sweet cigarettes" in the early 21st century sense of being a cigarette sweetened with flavouring. They were a completely non-tobacco product — a candy cigarette that was entirely consumable but shaped like a cigarette. Moreover, the box that was roughly the same dimensions as a British cigarette pack. It's unclear how the product may have tasted as, strangely, the first of the product's stated ingredients given on the rear of the pack was "Skaro" — the name of the Daleks' homeworld.
A PDF file containing the complete story with illustrations is included on the DVD release of TV: The Keys of Marinus.