The best way to find the companies in which the same person is acting as a director is "search by director". There are a number of websites which have list of companies operating in the world. You just need to open the site and put the first name and the surname of the director and you will get the list of the companies which are operating under that director.
For your convenience I am giving you the link and click to access: Directors
For your convenience I am giving you the link and click to access: Directors