However, this is a case where you’ll want to use your common sense. If you went to college for marketing and had a marketing internship your senior year, then worked as a server for the next several years, you would want to include your marketing internship.
There are some things that don’t belong on a resume for a job. What you exclude is just as important as what you include. Ideally, your resume should reflect experience that is relevant to the job you are applying to, and typically no more than ten to fifteen years in the past. Since your resume should, if possible, be no longer than one or two pages, you may need to nix certain items.