Monday is December 31, 2018, and Tuesday is January 1, 2019. Below is what is scheduled.
ABC has a rerun episode of "General Hospital" from New Year's Eve 1997 on Monday. The other ABC daytime shows are older episodes as well. On Tuesday, they have the Rose parade in the morning and the Citrus Bowl in the afternoon, so no regular programming is airing.
CBS has the Sun Bowl on December 31, 2018. "The Bold and the Beautiful is a rerun that day and "Let's Make a Deal" and "The Talk" aren't on, but "The Price is Right" and "The Young and the Restless" are new. On January 1, 2019, The Young and the Restless" and "Let's Make a Deal" are scheduled as new, while TPIR, The Talk and B&B are reruns.
NBC has a new episode of "Days of Our Lives" on Monday. On Tuesday, they are airing the Winter classic NHL game from Notre Dame as the Blackhawks and Bruins play in the afternoon and the Rose parade in the morning.