08.40: FILM: On The Town (1949)
Musical about three sailors on a day's leave in New York, starring Gene Kelly and Frank Sinatra.
10.15: New Year's Day Concert From Vienna
The Vienna Philharmonic Orchestra, live from the Musikverein in the Austrian capital.
12.45: Talking Pictures
Celia Imrie looks at the finest work from the UK's finest Dames.
13.20: FILM: Tea With Mussolini (1999)
Period comedy drama about a bunch of English and American women living in 1930s Florence who decide to adopt a local orphan.
15.10: As Time Goes By (repeat)
The two-part reunion special, first shown in 2005, starring Judi Dench and the late Geoffrey Palmer.
16.45: Michael Palin - Travels of a Lifetime (repeat)
The comedian revisits his epic journey to Everest base camp.
18.15: The Archbishop of Canterbury's New Year Message (repeat)
Justin Welby welcomes in the New Year.
18.20: FILM: Mr Holmes (2015)
Ian McKellen stars as an elderly version of the super sleuth.
20.00: Only Connect
A special music edition of the head-scratching quiz show.
20.30: Christmas University Challenge
The grand final.
21.00: Celebrity: A 21st Century Story
The final part looks at celebrities including Meghan Markle, Donald Trump and Stanley Johnson.
22.00: Frankie Boyle's 2020 New World Order
The savage comedian attempts to make sense of 2020.
22.45: Later - with Jools Holland
A look back at the best moments from hootenannies past.
23.45: Secrets of the Apollo (repeat)
Comedians who have graced the Live at the Apollo stage share their memories of the famous Hammersmith theatre.
00.45: FILM: The Nine Lives of Ozzy Osbourne (2020)
Biography of the extraordinary life of the Black Sabbath rocker.
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