Here's what will be airing on FX and FXX on Martin Luther King Day, all times Eastern:

FX-

7am-Little Women (RD: December 25, 2019)
10am-Anyone but You (RD: December 22, 2023)
12pm-Mrs. Doubtfire (RD: November 24, 1993)
3pm-Night at the Museum (RD: December 22, 2006)
5:30pm-Night at the Museum: Battle of the Smithsonian (RD: May 22, 2009)
8pm-Uncharted (RD: February 18, 2022)
10:30pm-Uncharted (RD: February 18, 2022)
1am-What Happens in Vegas (RD: May 9, 2008)

FXX-

7am-Spies in Disguise (RD: December 25, 2019)
9am-Hotel Transylvania (RD: September 28, 2012)
11am-Hotel Transylvania 2 (RD: September 25, 2015)
1pm-The Simpsons: "Walking Big & Tall" (S26E13, OAD: February 8, 2015)
1:30pm-The Simpsons: "My Fare Lady" (S26E14, OAD: February 15, 2015)
2pm-The Simpsons: "The Princess Guide" (S26E15, OAD: March 1, 2015)
2:30pm-The Simpsons: "Waiting for Duffman" (S26E17, OAD: March 15, 2015)
3pm-The Simpsons: "Peeping Mom" (S26E18, OAD: April 19, 2015)
3:30pm-The Simpsons: "The Kids Are All Fight" (S26E19, OAD: April 26, 2015)
4pm-Bob's Burgers: "Ex Mach Tina" (S7E8, OAD: January 8, 2017)
4:30pm-Bob's Burgers: "Bob Actually" (S7E9, OAD: February 12, 2017)
5pm-Bob's Burgers: "There's No Business Like Mr. Business Business" (S7E10, OAD: February 19, 2017)
5:30pm-Bob's Burgers: "A Few 'Gurt Men" (S7E11, OAD: March 5, 2017)
6pm-Bob's Burgers: "Like Gene for Chocolate" (S7E12, OAD: March 12, 2017)
6:30pm-Bob's Burgers: "The Grand Mama-pest Hotel" (S7E13, OAD: March 19, 2017)
7pm-Family Guy: "Stu and Stewie's Excellent Adventure" (S4E30, OAD: May 21, 2006)
7:30pm-Family Guy: "Stewie Loves Lois" (S5E1, OAD: September 10, 2006)
8pm-Family Guy: "Mother Trucker" (S5E2, OAD: September 17, 2006)
8:30pm-Family Guy: "Hell Comes to Quahog" (S5E3, OAD: September 24, 2006)
9pm-Family Guy: "Saving Private Brian" (S5E4, OAD: November 5, 2006)
9:30pm-Family Guy: "Whistle While Your Wife Works" (S5E5, OAD: November 12, 2006)
10pm-Family Guy: "Prick Up Your Ears" (S5E6, OAD: November 19, 2006)
10:30pm-Family Guy: "Chick Cancer" (S5E7, OAD: November 26, 2006)
11pm-Family Guy: "Barely Legal" (S5E8, OAD: December 17, 2006)
11:30pm-Family Guy: "Road to Rupert" (S5E9, OAD: January 28, 2007)
12am-Futurama: "Decision 3012" (S7E3, OAD: June 27, 2012)
12:30am-Futurama: "The Thief of Baghead" (S7E4, OAD: July 4, 2012)
1am-Futurama: "Zapp Dingbat" (S7E5, OAD: July 11, 2012)
1:30am-Futurama: "The Butterjunk Effect" (S7E6, OAD: July 18, 2012)
2am-King of the Hill: "Old Glory" (S4E11, OAD: January 9, 2000)
2:30pm-King of the Hill: "Rodeo Days" (S4E12, OAD: January 16, 2000)
3am-King of the Hill: "Hanky Panky" (S4E13, OAD: February 6, 2000)
3:30am-King of the Hill: "High Anxiety" (S4E14, OAD: February 13, 2000)