In Jamaica, Governors-General of Jamaica, as well as their spouses, are entitled to be styled "The Most Honourable" upon receipt of the Jamaican Order of the Nation.  Prime Ministers of Jamaica, and their spouses, are also styled this way upon receipt of the Order of the Nation, which is only given to Jamaican Governors-General and Prime Ministers. 
Certain dignitaries and recipients of honours in Africa are also styled as such. For example, those who make a significant contribution to the Bunyoro-Kitara Kingdom of Uganda, and are granted the Royal Order of the Engabu or the Royal Order of the Omujwaara Kondo, are also entitled to use the hereditary honorific style of "The Most Honourable".
In addition, the names of some groups use this prefix, such as " His Majesty's Most Honourable Privy Council" in the United Kingdom.