BrickBack-At least here in the United States capital punishment reasons revolve around murder.
There are some countries where non criminal offenses result in capital punishment. For example, in many Middle Eastern countries homosexuality is a capital offense and death is the penalty.
In addition, a woman rumored to have committed adultery whether true or not also results in the death penalty.
There is a case in Iran in which a woman is sentenced to death by stoning because it was rumored that she was unfaithful to her spouse.
Communist countries like Cuba and China have executed vocal political detractors for espousing their opposing political views.
People that live in democratic countries like the United States should be so grateful because you have so many more rights than you do in other parts of the world. Capital punishment in America is a much fairer process than in other parts of the world.