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)

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)

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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