Heart Surgeons (2018)

In both the doctors have a complicated childhood. Their childhood influence in their medical careers and personal life.

The series revolves around the thoracic surgery department of a hospital.
Park Tae Soo is a thoracic surgery fellow for four years whose mother is waiting for a heart transplant. Meanwhile, Choi Suk Han is a thoracic surgeon who is renowned for his skills but has not been treated fairly due to his humble medical background from a local university.
A mysterious woman, who had a near death experience, decides to become a resident of thoracic surgery.

Both have operations with transplants. Both have a main character who cares deeply about patients. Both have a reasonable numbers of operations. One is more about revenge (cross), but overall both have elements like corruption and all.
Two must watch for who likes the genre.

Both dramas have similar feels in the hospital setting and both don't have romance. But Life is more about political matters and don't have so much surgeries as Heart Surgeons.