This article is from the rec.arts.movies.current-films FAQ, by Evelyn C. Leeper firstname.lastname@example.org with numerous contributions by others.
You *can't* get phone numbers. But you can often get contact addresses
(usually an agent or publicist), by calling the Screen Artists Guild at
213-954-1600. They will give you a phone number and/or address for the
agent. The agent can provide you an address to write and may send
pictures on request or provide the publicist's addresses. Another method
(if the star has written a book) is to send mail in care of the publisher
of that book.