City of Angels

This is the story of Seth (Nicolas Cage), an angel who wanders the Los Angeles area invisible to humans. As someone's death approaches, he spends time near that person and becomes visible while acting as traveling companion during the trip to the great hereafter. His discovery of a distraught heart surgeon, Maggie (Meg Ryan), inspires him to forego his immortality and exist on earth with her as a feeling and mortal entity. (official distributor synopsis)