Here's what will be airing on Nickelodeon (and Nick at Nite) and TeenNick on MLK Day, all times Eastern:

Nickelodeon/Nick at Nite-

7am-PAW Patrol: "Pups Stop a Super Shaker/Pups Save a Flying Farmhouse" (S8E16, OAD: November 5, 2021)
7:30am-PAW Patrol: "Pups Save a Box Fort/Pups Save Travelin' Travis from Really Big Bill!" (S8E17, OAD: May 20, 2022)
8am-PAW Patrol: "Dancing with Luke Stars/Pups Save a Mischievous Octopus" (S8E21, OAD: April 15, 2022)
8:30am-PAW Patrol: "Pups Save the Kitties and the Kiddies/Pups Save a Greenhouse" (S8E22, OAD: May 13, 2022)
9am-PAW Patrol: "Pups Save the Floating Goodways/Pups Save the Portable Pet Wash" (S8E23, OAD: June 3, 2022)
9:30am-PAW Patrol: "Pups Save a Lonesome Walrus/Pups Save the Hummy Gummies" (S8E24, OAD: May 6, 2022)
10am-PAW Patrol: "Cat Pack/PAW Patrol Rescue: Rubble and Wild and a Yarn Ball!/Cat Pack/PAW Patrol Rescue: Skye and Rory Flip It/Cat Pack/PAW Patrol Rescue: Marshall, Leo and a Ferris Wheel/Cat Pack/PAW Patrol Rescue: Everest, Shade and the Mountain Goat" (S8E25, OAD: August 5, 2022)
10:30am-PAW Patrol: "Pups Stop a Big Leak/Pups Save a Baby Anteater/Pups Save a Hatch Day/Pups Save the Munchie Mobile" (S8E26, OAD: April 23, 2023)
11am-PAW Patrol: "Liberty Makes a New Friend/Pups Save the Pup Pup Boogie Contest" (S9E1, OAD: March 25, 2022)
11:30am-PAW Patrol: "Pups Meet the Cat Pack" (S9E2, OAD: November 25, 2022)
12pm-Sing 2 (RD: December 22, 2021)
2:30pm-Despicible Me (RD: July 9, 2010)
4:30pm-Hotel Transylvania (RD: September 28, 2012)
6:30pm-SpongeBob SquarePants: "Someone's in the Kitchen with Sandy/The Inside Job" (S7E3, OAD: July 19, 2009)
7pm-Friends: "The One with the Cheap Wedding Dress" (S7E17, OAD: March 15, 2001)
7:30pm-Friends: "The One with Joey's Award" (S7E18, OAD: March 29, 2001)
8pm-Friends: "The One with Ross and Monica's Cousin" (S7E19, OAD: April 19, 2001)
8:30pm-Friends: "The One with Rachel's Big Kiss" (S7E20, OAD: April 26, 2001)
9pm-Friends: "The One with the Vows" (S7E21, OAD: May 3, 2001)
9:30pm-Friends: "The One with Chandler's Dad" (S7E22, OAD: May 10, 2001)
10pm-The Big Bang Theory: "The Change Constant" (S12E23, OAD: May 16, 2019)
10:30pm-The Big Bang Theory: "The Stockholm Syndrome" (S12E24, OAD: May 16, 2019)
11pm-The Big Bang Theory: "The Benefactor Factor" (S4E15, OAD: February 10, 2011)
11:35pm-The Big Bang Theory: "Pilot" (S1E1, OAD: September 24, 2007)
12:10am-The Big Bang Theory: "The Big Bran Hypothesis" (S1E2, OAD: October 1, 2007)
12:45am-Friends: "The One with Monica and Chandler's Wedding (Part 1)" (S7E23, OAD: May 17, 2001)
1:20am-Friends: "The One with Monica and Chandler's Wedding (Part 2)" (S7E24, OAD: May 17, 2001)
1:55am-Friends: "The One After 'I Do'" (S8E1, OAD: September 27, 2001)
2:30am-Friends: "The One with the Red Sweater" (S8E2, OAD: October 4, 2001)
3:05am-Modern Family: "She Crazy" (S7E4, OAD: October 14, 2015)
3:39am-Modern Family: "The Verdict" (S7E5, OAD: October 21, 2015)
4:16am-Modern Family: "The More You Ignore Me" (S7E6, OAD: November 11, 2015)
4:42am-Modern Family: "Clean Out Your Junk Drawer" (S7E8, OAD: December 2, 2015)
5:08am-Modern Family: "Playdates" (S7E10, OAD: January 6, 2016)
5:36am-Modern Family: "Spread Your Wings" (S7E11, OAD: January 13, 2016)
6am-The Neighborhood: "Welcome to Thanksgiving" (S1E8, OAD: November 19, 2018)
6:30am-SpongeBob SquarePants: "Squid Noir/Scavenger Pants" (S11E9, OAD: November 9 & 10, 2017)

TeenNick-

6am-The Loud House: "Exchange of Heart/Community Disservice" (S4E21, OAD: January 25, 2020)
6:27am-The Loud House: "Funny Business/Snow Bored" (S1E45&E46, OADs: November 7 & 8, 2016)
6:54am-The Loud House: "Washed Up/Recipe for Disaster" (S4E10&E11, OADs: July 15 & 16, 2019)
7:21am-The Loud House: "Heavy Meddle/Making the Case" (S1E2, OAD: May 3, 2016)
7:48am-The Loud House: "Kick the Bucket List/Party Down" (S2E16&E17, OADs: April 10 & 11, 2017)
8:14am-The Loud House: "The Loud Cloud/You Auto Know Better" (S6E24, OAD: September 30, 2022)
8:41am-The Loud House: "Snow Way Out/Snow Way Down" (S2E45, OAD: December 1, 2017)
9:07am-Henry Danger: "Text, Lies & Video" (S2E12, OAD: April 9, 2016)
9:33am-Henry Danger: "A Fiñata Full of Death Bugs" (S3E1, OAD: September 17, 2016)
10am-Henry Danger: "Whistlin' Susie" (S5E2, OAD: November 10, 2018)
10:26am-Henry Danger: "Spoiler Alert" (S1E12, OAD: January 24, 2015)
10:52am-Henry Danger: "Ox Pox" (S2E15, OAD: April 30, 2016)
11:18am-Henry Danger: "Meet Cute Crush" (S4E6, OAD: February 10, 2018)
11:44am-Henry Danger: "Henry & the Woodpeckers" (S2E4, OAD: October 3, 2015)
12:11pm-Henry Danger: "Man of the House" (S1E18, OAD: March 14, 2015)
12:38pm-Henry Danger: "Green Fingers" (S3E14, OAD: April 22, 2017)
1:05pm-Henry Danger: "The Trouble with Frittles" (S3E5, OAD: November 5, 2016)
1:31pm-Henry Danger: "Tears of the Jolly Beetle" (S1E4, OAD: September 27, 2014)
1:57pm-Henry Danger: "EnvyGram Wall" (S5E27, OAD" November 16, 2019)
2:23pm-Henry Danger: "Broken Armed and Dangerous" (S5E8, OAD: January 26, 2019)
2:50pm-Henry Danger: "Captain Drex" (S5E37, OAD: March 7, 2020)
3:16pm-Henry Danger: "Jasper Danger" (S1E6, OAD: October 18, 2014)
3:42pm-Henry Danger: "The Fate of Danger: Part I" (S5E38, OAD: March 14, 2020)
4:08pm-Henry Danger: "Love Bytes" (S5E17, OAD: June 22, 2019)
4:34pm-Henry Danger: "Knight & Danger" (S5E9, OAD: February 2, 2019)
5:01pm-Henry Danger: "License to Fly" (S3E13, OAD: April 15, 2017)
5:28pm-Henry Danger: "Budget Cuts" (S4E9, OAD: April 7, 2018)
5:54pm-Henry Danger: "Flabber Gassed" (S4E20, OAD: October 20, 2018)
6:21pm-Henry Danger: "Substitute Teacher" (S1E5, OAD: October 4, 2014)
6:48pm-Henry Danger: "Story Tank" (S5E24, OAD: October 12, 2019)
7:15pm-The Loud House: "Home of the Fave/Hero Today, Gone Tomorrow" (S3E35&E36, OADs: February 6 & 7, 2019)
7:42pm-The Loud House: "Fed Up/Shell Shock" (S2E18&E19, OADs: April 12 & 13, 2017)
8:09pm-The Loud House: "Much Ado About Noshing/Broadcast Blues" (S5E19, OAD: August 27, 2021)
8:36pm-The Loud House: "Twas the Fight Before Christmas" (S7E19, OAD: December 1, 2023)
9:03pm-The Loud House: "No Bus No Fuss/Resident Upheaval" (S5E8, OAD: January 29, 2021)
9:30pm-The Loud House: "The Write Stuff/Racing Hearts" (S3E38&E39, OADs: March 4 & 5, 2019)
9:57pm-The Loud House: "Cover Girls/Save the Date" (S1E26&E29, OADs: August 1 & 4, 2016)
10:24pm-The Loud House: "Fool's Paradise/Job Insecurity" (S2E27&E31, OADs: June 13 & July 25, 2017)
10:51pm-The Loud House: "Kings of the Con" (S4E15, OAD: October 14, 2019)
11:18pm-The Loud House: "Don't You Fore-get About Me/Tough Cookies" (S4E28&E29, OADs: May 13 & 14, 2020)
11:45pm-The Loud House: "Legends/Mall of Duty" (S2E43, OAD: November 11, 2017)
12:12am-The Loud House: "Blinded by Science/Band Together" (S5E5, OAD: October 16, 2020)
12:39am-The Loud House: "Bummer Camp/Sleepstakes" (S6E9, OAD: June 10, 2022)
1:06am-The Loud House: "Party Fowl/Sleepless in Royal Woods" (S7E16&E17, OADs: September 13 & 14, 2023)
1:33am-The Loud House: "Road Trip: Bringing Down the House/Road Trip: Mountain Hard Pass" (S7E8, OAD: July 14, 2023)
2am-The Loud House: "Face the Music with the Casagrandes/Pranks for the Memories with the Casagrandes" (S4E6&E7, OADs: June 17 & 18, 2019)
2:24am-The Loud House: "Child's Play/Force of Habits" (S7E3&E4, OADs: May 22 & 23, 2023)
2:48am-The Loud House: "Runaway Bride/High Crimes" (S5E29, OAD: March 4, 2022)
3:12am-The Loud House: "Pulp Friction/Pets Peeved" (S2E20&E21, OADs: April 14 & May 15, 2017)
3:36am-The Loud House: "Toads and Tiaras/Two Boys and a Baby" (S1E22&E24, OADs: July 19 & 21, 2016)
4:02am-The Loud House: "Silence of the Luans/Undercover Mom" (S5E11, OAD: March 26, 2021)
4:24am-The Loud House: "Project Loud House/In Tents Debate" (S1E4, OAD: May 5, 2016)
4:48am-The Loud House: "Time Trap!" (S6E8, OAD: June 3, 2022)
5:12am-The Loud House: "Lori Days/In the Mick of Time" (S5E18&E20, OADs: July 16 & August 27, 2021)
5:36am-The Loud House: "Back Out There/Spell It Out" (S2E24&E26, OADs: May 18 & June 12, 2017)

Technically there's nothing much special with these Nick channels.

Especially in TeenNick's case when there's nothing but The Loud House and Henry Danger spammed over and over again.

There's also few movies and NFL Slimetime airing on TeenNick as well.

Technically there's nothing much special with these Nick channels.

Exactly anything that was special is gone basically all the magic is gone. I wish they would sell them to someone or some company that would care and do the right things them. Very low chance of ever happening though but one can wish sometimes.