I was at a Junior League meeting on Tuesday listening to a speaker on deciding how to donate your money, including through bequests in your will. She mentioned the about 1/3 of Americans cannot name their 8 great grandparents (citing Ancestry.com) and that if you want to be remembered, donations to nonprofits is one way to do it. Based on the response of my fellow members, I think Ancestry might be overestimating.
They say you die twice. Once when you stop breathing and the second, a bit later on, when somebody mentions your name for the last time.
When I teach introduction to genealogy classes, I start with 4 generation pedigree charts and seeing how much participants can fill in. Most can name their grandparents, though not always the maiden name of their grandmothers, but few can name all 8 greats. I tell them that a great first goal is to research to find out who each of their great grandparents are, by starting with themselves and working backwards.
If you're new to genealogy, I recommend the same. Then, post about it in a blog or on social media or tell your family about what you find. Not everyone will be able to make a large donation to have their name live on, but everyone deserves to be remembered.