When Calls the Heart (8 p.m., Hallmark) – In this special New Year’s episode, Jack and and Elizabeth get a fresh start and an unwanted visitor from Pastor Hogan’s past arrives in town.
Stalked by My Doctor (8 p.m., Lifetime) – This movie, starring Eric Roberts and Brianna Chomer, is about a doctor’s obsession with a teenage patient that turns violent.
The Sound of Music Live (8 p.m., NBC) – From 2013, NBC’s live musical presentation of “The Sound of Music” featuring Carrie Underwood.
Dr. Dee: Alaska Vet (9 p.m., Animal Planet) – Dr. Dee takes care of her mother while dealing with a busy clinic — including an emergency surgery on a Yorkie pup.
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Dr. Jeff: Rocky Mountain Vet (10 p.m., Animal Planet) – A dog found tied to a fence needs emergency leg surgery, and a Pomeranian gets a forever home.