To get your name off a mailing list:

Ask the mailer by letter not to rent or exchange your name. "Note," says the BBB, "that the organization may be unable to comply unless you send the mailing label from the unwanted mailing."

Write the Direct Mail/Marketing Association, 6 East 43rd St., New York, N.Y. 10017, for a Mail Preference Service form. Fill it out and return it so your name may be subtracted from -- or added to, if that's what you want -- lists maintained by the association's membership, who account for about 70 percent of the nation's direct mail advertising. Include labels off the unwanted mail with all the variations on your name and address. The removal process, says the BBB, "may take several months."

Utilize the negative check-off option offered by some firms to keep your name from rental lists.

Inform the Philanthropic Advisory Service of the Council of Better Business Bureaus, 1150 17th St. NW, Washington, D.C. 20036, if a fund-raiser fails to heed your request for name removal.

Obtain a copy of Postal Service form 2201 from any post office to get off mailing lists of sexually oriented material. It may take 30 days to be removed from such lists, says the Postal Service.