Here's the schedule for Comedy Central on Christmas Eve and Christmas Day, all times Eastern:

December 24th (Christmas Eve):

7am-Parks and Recreation: "Christmas Scandal" (S2E12, OAD: December 10, 2009)
7:30am-Parks and Recreation: "Eagleton" (S3E12, OAD: May 5, 2011)
8am-Parks and Recreation: "Citizen Knope" (S4E10, OAD: December 8, 2011)
8:30am-Parks and Recreation: "Ron and Diane" (S5E9, OAD: December 6, 2012)
9am-The Office: "Christmas Party" (S2E10, OAD: December 6, 2005)
9:35am-The Office: "A Benihana Christmas" (S3E10&E11, OAD: December 14, 2006)
10:45am-The Office: "Moroccan Christmas" (S5E11, OAD: December 11, 2008)
11:15am-The Office: "Secret Santa" (S6E13, OAD: December 10, 2009)
11:50am-The Office: "Classy Christmas" (S7E11&E12, OAD: December 9, 2010)
1pm-The Office: "Christmas Wishes" (S8E10, OAD: December 8, 2011)
1:30pm-The Office: "Dwight Christmas" (S9E9, OAD: December 6, 2012)
2pm-The Office: "Fun Run" (S4E1&E2, OAD: September 27, 2007)
3pm-The Office: "Dunder Mifflin Infinity" (S4E3&E4, OAD: October 4, 2007)
4pm-The Office: "Launch Party" (S4E5&E6, OAD: October 11, 2007)
5pm-The Office: "Money" (S4E7&E8, OAD: October 18, 2007)
6pm-The Office: "Local Ad" (S4E9, OAD: October 25, 2007)
6:30pm-The Office: "Branch Wars" (S4E10, OAD: November 1, 2007)
7pm-The Office: "Survivor Man" (S4E11, OAD: November 8, 2007)
7:35pm-The Office: "The Deposition" (S4E12, OAD: November 15, 2007)
8:10pm-The Office: "Dinner Party" (S4E13, OAD: April 10, 2008)
8:45pm-The Office: "Chair Model" (S4E14, OAD: April 17, 2008)
9:20pm-The Office: "Night Out" (S4E15, OAD: April 24, 2008)
9:55pm-Family Guy: "Jesus, Mary and Joseph!" (S11E8, OAD: December 23, 2012)
10:30pm-Family Guy: "Road to the North Pole" (S9E7, OAD: December 12, 2010)
11:30pm-Family Guy: "Christmas Guy" (S12E8, OAD: December 15, 2013)
12am-Family Guy: "How the Griffin Stole Christmas" (S15E9, OAD: December 11, 2016)
12:30am-Family Guy: "Don't Be a Dickens at Christmas" (S16E9, OAD: December 10, 2017)
1am-Family Guy: "Christmas Is Coming" (S18E9, OAD: December 15, 2019)
1:30am-Family Guy: "Christmas Crime" (S20E10, OAD: December 19, 2021)
2am-South Park: "Mr. Hankey, the Christmas Poo" (S1E9, OAD: December 17, 1997)
2:30am-South Park: "Merry Christmas, Charlie Manson!" (S2E16, OAD: December 9, 1998)
3am-South Park: "Mr. Hankey's Christmas Classics" (S3E15, OAD: December 1, 1999)
3:30am-South Park: "A Very Crappy Christmas" (S4E17, OAD: December 20, 2000)
4am-South Park: "Red Sleigh Down" (S6E17, OAD: December 11, 2002)
4:30am-South Park: "It's Christmas in Canada" (S7E15, OAD: December 17, 2003)
5am-South Park: "Woodland Critter Christmas" (S8E14, OAD: December 15, 2004)
5:30am-South Park: "#REHASH" (S18E9, OAD: December 3, 2014)
6am-South Park: "#HappyHolograms" (S18E10, OAD: December 10, 2014)
6:30am-South Park: "The Problem with a Poo" (S22E3, OAD: October 10, 2018)
7am-South Park: "Christmas Snow" (S23E10, OAD: December 11, 2019)

December 25th (Christmas Day):

7:30am-Daddy's Home 2 (RD: November 10, 2017)
9:30am-Daddy's Home (RD: December 25, 2015)
11:45am-Daddy's Home 2 (RD: November 10, 2017)
2pm-Jeff Dunham's Very Special Christmas Special (OAD: November 16, 2008)
3pm-Jeff Dunham's Very Special Christmas Special (OAD: November 16, 2008)
4pm-Jeff Dunham's Very Special Christmas Special (OAD: November 16, 2008)
5pm-Jeff Dunham's Very Special Christmas Special (OAD: November 16, 2008)
6pm-We're the Millers (RD: August 7, 2013)
8:30pm-Ted (RD: June 29, 2012)
11pm-Family Guy: "Blue Harvest" (S6E1, OAD: September 23, 2007)
12am-Family Guy: "Something, Something, Something, Dark Side" (S8E20, OAD: May 23, 2010)
1am-Family Guy: "And Then There Were Fewer" (S9E1, OAD: September 26, 2010)
2am-South Park: "#REHASH" (S18E9, OAD: December 3, 2014)
2:30am-South Park: "#HappyHolograms" (S18E10, OAD: December 10, 2014)
3am-South Park: "The Problem with a Poo" (S22E3, OAD: October 10, 2018)
3:30am-South Park: "Christmas Snow" (S23E10, OAD: December 11, 2019)
4am-South Park: "Chickenlover" (S2E4, OAD: May 27, 1998)
4:30am-South Park: "Ike's Wee Wee" (S2E3, OAD: May 20, 1998)
5am-South Park: "Conjoined Fetus Lady" (S2E5, OAD: June 3, 1998)
5:30am-South Park: "The Mexican Staring Frog of Southern Sri Lanka" (S2E6, OAD: June 10, 1998)