“The Cleaning Lady” (Fox, 9 p.m.) gets an ultimatum.
The government tries to figure out its next move on “4400” (CW, 9 p.m.).
“Kenan” (NBC, 8 p.m.) clashes with his daughter on the first of two episodes.
The dead of winter is a good time for the sixth season start for “Summer House” (Bravo, 9 p.m.), which is dominated by returning guests.
Dave takes up boxing as he approaches his 40th birthday on “The Neighborhood” (CBS, 8 p.m.).
On “Bob (Hearts) Abishola” (CBS, 8:30 p.m.), Bob accidentally reveals Morenike is gay.
Navy vets renew vows on board on “Below Deck” (Bravo, 8 p.m.).
“NCIS” (CBS, 9 p.m.) stumbles on a group of terrorists.
A news special titled “Democracy in Peril” (CNN, 9 p.m.) may become a regular fixture.
“Kids Baking Championship” (Food, 8 p.m.) has contestants create some cookie cereals.
Rabbit terrine is on the menu on “Chopped” (Food, 9 p.m.).
“My Celebrity Dream Wedding” (VH1, 9 p.m.) tries to help a couple wanting a Paris-themed event.
It’s a water sports day for the guys on “VH1 Family Reunion: Love & Hip Hop Edition” (VH1, 8 p.m.).
Turner Classic Movies marks Martin Luther King Day with a series of documentaries from the Chicago-based The Film Group, from the late 1960s and early 70s. They are: “The World, the Flesh and the Devil” (6:15 a.m.), “Intruder in the Dust” (8 a.m.), “One Potato, Two Potato” (9:30 a.m.), “The Defiant Ones” (11 a.m.), “Gordon Parks: Moments Without Proper Names” (1 p.m.), “The Learning Tree” (2:15 p.m.), “Sounder” (4:15 p.m.), “Nothing but a Man” (6:15 p.m.), “American Revolution 2” (8 p.m. and midnight), “Black Moderates and Black Militants” (9:30 p.m.), “Cicero March” (9:45 pm.m.), “The Murder of Fred Hampton” (10 p.m. and 2 a.m.), “The People’s Right to Know” (11:40 p.m.), “Law and Order vs. Dissent” (1:45 a.m.) and “A Right to Dissent: A Press Conference” (3:40 a.m.).
Basketball includes Charlotte at New York (NBA, 1 p.m.), Chicago at Memphis (TNT, 3:30 p.m.), Milwaukee at Atlanta (TNT, 6 p.m.) and Utah at Los Angeles (NBA, 10:30 p.m.).
Men’s college hoops have Purdue at Illinois (Fox, noon), George Mason at George Washington (CBS Sports, 2 p.m.), Notre Dame at Howard (Fox, 2:30 p.m.), LaSalle at Saint Joseph’s (CBS Sports, 4 p.m.), Delaware at Northeastern (CBS Sports, 7 p.m.) and UNLV at San Jose State (CBS Sports, 9 p.m.),
Women’s games include UConn at Oregon (ESPN2, 5 p.m.).
There’s first round play in the Australian Open (Tennis, 7 a.m.; ESPN2, 11:30 p.m.) early and late — no Djokovic!
Hockey hosts the All-American Prospects Game (NHL, 4 p.m.). What, no Canadians?
A breath of warm air from the South: the Puerto Rican Baseball League finals, with Criollos de Cauguas vs. Indios de Mayaguez (Fox Sports 2, 6 p.m.).
Daytime Talk
Kelly Ripa and Ryan Seacrest: Ricky Gervais, Jilliam Michaels. The View: Sen. Rev. Raphael Warnock, Jennifer Hudson. The Talk: Jenifer Lewis, Thorsten Kaye, Lawrence Saint-Victor. Ellen DeGeneres: Heidi Klum, Brandon Leake. Drew Barrymore: John Cena. Kelly Clarkson: Morris Chestnut, Fortune Feimster, Stephanie Izard, Sing Harlem. Tamron Hall: Laura Coates, Ray Cole. Wendy Williams: Sheryl Lee Ralph, Kim Whitley, Finesse Mitchelll The Real: Mari Copeny, Kathy Hilton.
Late Talk
Stephen Colbert: Sen. Elizabeth Warren, Ingrid Andress & Sam Hunt. Jimmy Kimmel: Denzel Washington, Hunter Schafer, Twenty One Pilots. Jimmy Fallon: Javier bardem, David Diggs, Robert Glaser with Rhapsody, BJ the Chicago Kid, Amir Sulaiman & DJ Jazzy Jeff. Seth Meyers: Aidy Bryant, John Early. James Corden: Dwayne Wade, Tessa Thompson, Andrew Michaan (rerun).