The mega-corporate Daedalus Group is under attack by a small group of activists known as the Ghost of Icarus. While taking care of some of the victims of the bombing, Black Jack encounters Dr. Kiriko, also known as Death Incarnate, who just like him, asks his patients huge sums of money but instead of saving them, he offers them a painless death. When the activist group requests both doctors&rsquo; collaboration, Black Jack finds himself caught in a spiral of life, death and treason while trying to save his patients' lives and avoid the breaking of a biological war that could destroy humanity.
 
(Source: Anime News Network)

Among adult readers in Japan Black Jack is Osamu Tezuka’s most popular achievement, and perhaps the most close to the creator’s heart, as Tezuka considered entering the medical field—majoring in medicine in college—before devoting his life to comics. Black Jack is a genius surgeon who never acquired his license due to his clashes with the medical establishment. He is hired out by anyone willing to pay his exorbitant rates and is perceived as a heartless rogue because of his enigmatic nature and antisocial manner. But as readers will soon discover, that is not the whole story.
 
(Source: Kodansha USA)
 Note: Won the 1st Kodansha Manga Award in the Shounen category in 1977.

Dr. Black Jack forgot his doctor's bag, and his assistant (plus self-claimed "wife") Pinoko rushed to deliver the bag but found herself lost in the forest. Guided by a butterfly, she found that many animals in the forest are sick or injured, and Pinoko used her knowledge to help those animals.
 
(Source: Anime News Network)

This was originally from the Black Jack (2004), but weren't aired then, only later. There are two episodes in this: 
"The Dog Thief" 
"Kamaitachi in the Woodlands"

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