Doctor Who
7pm, BBC One
An unfamiliar New Year’s Day time slot for the Doctor, although it’s one that means showrunner Chris Chibnall doesn’t feel obliged to shoehorn in a festive theme. Instead, this is a good, old-fashioned monster face-off as Jodie Whittaker’s Time Lord and her companions encounter “the most dangerous creature in the universe”, one that has designs on controlling the planet. The Daleks, perhaps – or something altogether new? Either way, this is your last Who until early 2020, so drink it in. Gwilym Mumford
The Great New Year’s Bake Off
7.40pm, Channel 4
The standard is high in this Bake Off special as 2016 winner Candice Brown returns to face other finalists including creator of the bread handbag Steven Carter-Bailey. Challenges include the baking of a wreath and meringue snow eggs floating in a custard lake. Marzipan sausage innuendo and chortles all round. Hannah Verdier
Luther
9pm, BBC One
Despite the macabre events on show, you get the feeling the cast of this gritty London crime drama are really enjoying themselves as a fifth series opens with a spate of grisly murders. Watch as DCI John Luther (Idris Elba) and new recruit DS Catherine Halliday (Wunmi Mosaku) hunt a real psycho-killer. With Hermione Norris. Continues all week. Mike Bradley
The Inbetweeners: Fwends Reunited
9pm, Channel 4
Ten years on, and the E4 comedy about a group of puerile sixth-formers remains era-defining – a relic of a time when gross-out “banter” culture was dominant. Here, the cast reunite to recall its significance via interviews, clips and games, followed by four of their favourite episodes. Hannah J Davies
Escape at Dannemora
9pm, Sky Atlantic
This Ben Stiller-directed series is based on a real-life prison break at a New York correctional facility in 2015. In this opening episode we meet Tilly (a barely recognisable Patricia Arquette), the hapless married prison worker enjoying relations with a prisoner, with disastrous consequences. David Stubbs
Mrs Brown’s Boys New Year Special
10pm, BBC One
More festive farce with the ribald Irish mammy. The cold weather has played havoc with Winnie’s plumbing – steady now – so she and Sharon end up crashing in the Brown household. A chaotic place at the best of times, it becomes more volatile during a raucous birthday party for 10-year-olds. Graeme Virtue
Film choice
Young Frankenstein 12.25am, BBC Two
This marvellous monster movie is Mel Brooks’s best spoof. The Brooks/Gene Wilder script runs the gamut of slapstick screen humour, oozing affection for the horror classics. Best of the fall-about brilliant cast is Peter Boyle as the eternally bewildered creature, accidentally gifted an abnormal brain. Paul Howlett
Today’s best live sport
Premier League football: Everton v Leicester City 12noon, Sky Sports Main Event Cardiff v Spurs airs at 5pm.
World Darts Championship Alexandra Palace is the setting for the final. 8pm, Sky Sports Main Event
Tennis: Brisbane International Day three action from the Queensland Tennis Centre in Australia. 1am, BT Sport 1