The Big New Year’s In
9pm, BBC One
Although most people’s New Year’s Eve celebrations will be confined to their households, the TV schedulers will be keeping up the celebratory spirit. BBC One kicks things off with The Big New Year’s In at 9pm, with Paddy McGuinness overseeing celebrity fun and games, followed by a Graham Norton festive special featuring Emily Blunt, Jamie Dornan and Tom Hanks chatting on his sofa. At 11.30pm, Alicia Keys takes us through her hits before cutting to Big Ben at midnight for the countdown. Ammar Kalia
The Wall Versus Celebrities
6.40pm, BBC One
“The Wall doesn’t give a monkey’s who you are,” says Danny Dyer as brave duo Sally Lindsay and Alex Brooker face the mighty construction. While Dyer swaggers around the stage testing the celebrities’ trivia skills and luck, he encourages them to rack up the “readies” for their charities. Hannah Verdier
Britain’s Best Selling Toys
7pm, Channel 4
Keith Lemon counts down the biggest Christmas-list staples of the past 50 years, armed with facts about how crazes such as Cabbage Patch Kids, Transformers and Tamagotchi progressed from drawing board to shop window. Social historians, advertising executives, toy designers and, of course, celebs have their say. Jack Seale
The Last Leg of the Year 2020
9pm, Channel 4

Adam Hills, Josh Widdicombe and Alex Brooker present a bumper two-hour edition of their satirical current affairs show. The guest stars helping them to get a handle on the chaos of 2020 are Tom Allen, Lorraine Kelly, Clara Amfo and People Just Do Nothing’s Asim Chaudhry. AK
Before They Were Famous: Best Bits
10pm, BBC Two
Everyone starts somewhere and no one is too grand to feature in this star-humbling clip show. Footage of pre-fame celebs is served up with snark from Angus Deayton, but who could feel anything but awed admiration for Geri Halliwell, grafting on a Turkish gameshow? Ellen E Jones
Jools’ Annual Hootenanny
11.15pm, BBC Two
Jools Holland brings us his annual Hootenanny, this year featuring studio performances from Tom Jones, Celeste and Mercury prize winner Michael Kiwanuka, as well as a look at choice turns from the archive. For the countdown, he will be joined by his Rhythm and Blues Orchestra. AK
Film choice

Rosemary’s Baby (Roman Polanski, 1968), 11.40pm, TCM Movies
Mia Farrow’s elfin features are perfect for Rosemary, the mum-to-be who becomes convinced that she is carrying the devil’s child. Roman Polanski brilliantly sustains the cruel tension: is she the victim of satanists or social alienation? The sinister faces of John Cassavetes, Ruth Gordon and all could suggest either. Paul Howlett
Live sport
Big Bash cricket: Adelaide Strikers v Perth Scorchers 8am, BT Sport 1. A T20 match from Adelaide Oval.
A-League football: Central Coast Mariners v Newcastle Jets 8am, BT Sport 2. The Australian top-flight clash from Central Coast Stadium.
Ski jumping: The Four Hills 12.45pm, Eurosport 1. Live from Garmisch-Partenkirchen in Germany.