10 January 2018: death of David Fisher, writer of four Fourth Doctor stories.
ii) broadcast anniversaries
10 January 1970: broadcast of second episode of Spearhead from Space. The Doctor steals some clothes and joins up with the Brigadier and Liz. Meanwhile there are sinister goings-on at the plastics factory.
10 January 1976: broadcast of second episode of The Brain of Morbius. The Sisters threaten the Doctor, and blind Sarah; Solon wants the Doctor's head very badly, and we see the disembodied brain.
10 January 1981: broadcast of second episode of Warrior's Gate. Romana is forced into the navigator's chair, and the Doctor forced to repair the Gundan robots until he falls through a mirror.
iii) date specified in-universe
10 January 2540: The President of Earth is unable to address the annual meeting of the Historical Monuments Preservation Society because she has to attend a cabinet meeting.