According to the Halacha, when I die, may I leave instructions for my family to donate my body/organs to science for research or, organs to a hospital for transplant so another person can live? What does halacha say?

We have several answers in our Hebrew Responsa and in our English Responsa to the question. All the Rabbis answering write that one cannot trust the doctors to act with the donated organs as the Halacha instructs and therefore one unfortunately cannot donate organs.