The Last Leg of the Year is on Channel Four at 9pm.

Special edition of the light-hearted review series, with guests Katherine Ryan, Johnny Vegas and Nish Kumar.

Raymond Briggs, Snowmen, Bogeymen and Milkmen is on BBC Two at 9pm.

A profile of the author and illustrator, shown to mark the 40th anniversary of the The Snowman, told through interviews with the man himself, and illustrations by Chris Riddell.

Jane McDonald and Friends New Year Special is on Channel Five at 9pm.

The singer throws a fun-filled party to ring in the new year, joined by singers Billy Ocean and Alexandra Burke, and Seventies chart star Gilbert O’Sullivan.

Jools’ Annual Hootenanny is on BBC Two at 11.15pm.

Jools Holland presents his annual New Year’s Eve party, featuring Michael Bublé, Jess Glynne, Nile Rodgers, George Ezra and Marc Almond.

The Graham Norton New Year’s Eve Show is on BBC One at 10.40pm.

Chat show. The host is joined by actors Olivia Colman, Nicholas Hoult, Keira Knightley and Guy Pearce. Plus, music comes from Rita Ora.

Madness Rocks Big Ben Live is on BBC One at 11.45pm.

The band sees in the new year with a performance at Central Hall in Westminster. Continues at 12.10am.