Different professions care about different people. Musicians (and honestly, the average layperson) can name classical musicians at least as far back as the Renaissance, and those in Theatre can name classic Greek plays from well over a thousand years ago (Medea, Antigone, Oedipus Rex don't ring any bells? Oedipus Rex was first performed in 429 BC!). Philosophers can name Socrates and Aristotle (and most other people can too).
How about games? Go is 2500 years old at this point and still going strong. Sure we don't remember the name of the person who first put it out there, but there wasn't a desire to record that back then. Shigeru Miyamoto will be tied to Mario for a long, long time. Or Walt Disney with Mickey Mouse and theme parks. They might not be household names in a thousand years, but there will be historians and documentaries about them (and hopefully their works will be properly archived so people wanting to be educated on the history of film or games can still enjoy them).
If something or someone leaves enough of an impression on society, they can be remembered for thousands of years, and still be relevant to people in those fields (and even outside of those fields). It's not guaranteed to be remembered, or for the people who were involved with it to be remembered specifically, but the result can be.
And even if it's not remembered by the public at large, there are people out there who will find value in remembering and reminding people about these things.