Which law permits a person of legal age and sound mind to donate all or part of their body upon death?

The Uniform Anatomical Gift Act is the correct answer because it specifically establishes the legal framework allowing individuals who are of legal age and sound mind to donate their organs and tissues upon their death. This law facilitates the process of anatomical donation, providing guidelines for how and when individuals can make such gifts, and ensures that their wishes regarding organ donation are honored after death.

The act clarifies the rights of individuals to make decisions about their bodies and promotes organ and tissue donation as a significant aspect of healthcare and medical advancement. This is crucial in addressing the shortage of transplantable organs and facilitates transplants, which can save or enhance many lives.

The other options are not relevant in this context. The Living Will Act focuses on the advance directives for a person's healthcare decisions while alive, particularly concerning end-of-life care. The Health Insurance Portability and Accountability Act deals with the privacy and security of patients' health information. The Bioethics Act generally pertains to ethical issues in biological and medical research and practice, rather than specifically addressing organ donation.