Under the race equality duty only public bodies that are specifically listed are covered by the duty. There are separate lists in relation to the general, specific and employment duties. The original lists can be found in the relevant Codes of Practice although it is important to note that some bodies have been added to this original list. An updated list of all the public bodies that are covered by the duties will be published soon.
Under the disability and gender equality duties the general duties apply to all functions of every public authority. The definition of a public authority, is 'any person who has functions of a public nature', so there is no list of those public authorities covered by the general duties. You can find more information on this within the relevant code of practice. There are some public authorities that are exempted, details of these bodies can be found in the relevant code of practice.
Under both the disability and gender equality duties only those bodies specifically listed are covered by the specific duties which can be found in the relevant code of practice. The original lists contained within the gender equality duty code of practice have not been added to. There have been additional public bodies added to the listing for the specific duties under the disability duty.
As a public body in its own right, the Equality and Human Rights Commission is covered by the three duties. This means that under the race, gender and disability duties the Commission is required to prepare an equality scheme which sets out its priorities over a three year period. The Commission's current scheme can be accessed here.