Dr. Who and the Daleks (in-universe)

A still from the movie which was used in its newspaper promotion, featuring Peter Cushing and Roberta Tovey's characters being captured by Daleks. (PROSE: Peaceful Thals Ambushed!)

You may be looking for the movie from the real world or other real-world works with similar titles.

Dr. Who and the Daleks was a Technicolor feature film released in 2065 (PROSE: Lady Penelope Investigates the stars of the Sensational new film Dr. Who and the Daleks!) or sometime prior to the 1970s. (PROSE: A Visit to the Cinema)

It was a fictionalised account of the circumstances of the Thal-Dalek battle which had been reported eighteen months prior to 2065. (PROSE: Lady Penelope Investigates the stars of the Sensational new film Dr. Who and the Daleks!)

The film starred Peter Cushing (PROSE: Lady Penelope Investigates the stars of the Sensational new film Dr. Who and the Daleks!, A Visit to the Cinema) as Dr. Who and Roberta Tovey as his granddaughter. At one point, their characters were captured by the Daleks, including at least four blue-and-silver War Machine Daleks, a Red Dalek and a Black Dalek. (PROSE: Peaceful Thals Ambushed!)

Agent 671107 and their friend went to see Dr. Who and the Daleks at the cinema. During the showing, they overheard people behind them correctly identifying them as junior Special Agents of the Universal Secret Service and suspected them to be enemy agents after they bought their popcorn at the same time and took the same route home. (PROSE: From Agent 671107)

By one account, the Third Doctor enjoyed the film and its sequel in a local cinema in the 1970s. The film had a scene in which a young chap sat upon a box of chocolates. (PROSE: A Visit to the Cinema)

From what it described as "film evidence", the Dalek Survival Guide was aware of an alternative version of the Skaro City Daleks and the Dalek Invasion Force (PROSE: Dalek Survival Guide) who were defeated by Dr. Who who had a niece called Louise and a granddaughter called Barbara in addition to his granddaughter Susan. (TV: Dr. Who and the Daleks, Daleks' Invasion Earth 2150 A.D.) The guide identified these Dalek variants as hailing from a "version of history B" relative to the "version of history A" of the First Doctor's version of the 2150s Dalek invasion of Earth, with the later Dalek Empire's attempt to rewrite the history of the 22nd century Dalek occupation as "version of history C". (PROSE: Dalek Survival Guide)