The Ellen DeGeneres Show
(3 p.m., NBC10) - Violinist Justus Rivera, 13, performs.
Oprah Winfrey (4 p.m., 6ABC) - A mother and son are addicted to pain medication.
NCIS (8 p.m., CBS3) - Gibbs must face down demons from his past when he finds a cryptic message a crime scene.
Rudolph's Shiny New Year (8 p.m., 6ABC) - The red-nosed one, with the help of a whale and a caveman, sets off across time to find Happy, the missing New Year baby.
Parks and Recreation (8 p.m., NBC10) - Hoping to promote the local zoo, Leslie arranges for two penguins to wed, but they both turn out to be male.
The 32nd Annual Kennedy Center Honors (9 p.m., CBS3) - Mel Brooks, Dave Brubeck, Grace Bumbry, Robert De Niro and Bruce Springsteen are honored.
Father of the Bride (9 p.m., LIFE) - A loving father is reluctant to see his little girl grow up.
Independent Lens (10 p.m., WHYY-TV12) - Filmed over four years, "Scenes From a Parish" follows a young priest in a working class parish in Lawrence, Mass.
Late Show With David Letterman (11:35 p.m., CBS3) - Robin Williams; Ashley Greene.
The Tonight Show With Conan O'Brien (11:35 p.m., NBC10) - Jamie Foxx; Jason Alexander.
Jimmy Kimmel Live (12:06 a.m., 6ABC) - William Shatner; Kristin McMillan.
The Late Late Show With Craig Ferguson (12:37 a.m., CBS3) - Harry Connick Jr. performs; author Peter Sagal.
Late Night With Jimmy Fallon (12:37 a.m., NBC10) - Fred Armisen; Carey Mulligan; chef Daniel Boulud.