If I had the talents to create a large website (I don't), I'd design something like this:
A publicly-accessible site, maintained in perpetuity, designed to serve as a "life-repository" for ordinary people.
That is to say, a site that would become "a record" of a person's life, self-created (or created by someone close to that person, family, a friend, etc.), containing text, pictures, sounds, videos, etc.
This material could be uploaded now, but the owner could designate that it NOT become "public" until some specified date in the future (after the owner's death?).
Example: someone 60 years of age today (2018) might designate that his/her repository become "public" in the year 2060.
Of course, you wouldn't want to put EVERYTHING you have into such a repository.
Only those things you would want others to see after you're gone.
But it could still contain "enough" so that one could "leave behind" a large assortment of stuff. Some good, some mediocre, some terrible. But that would be up to others (in the future) to decide.
At least it would be "there" -- not lost, as will be most of what is now stored on personal digital devices and computers.
Such a site would be publicly-accessible and "browseable".
One could go there, and look for anyone else.
Not intended to be a "social-media" site (those are for the living).
But more "a record" and a "storage box" of digital things in general.
I'm not sure how "ownership after death" issues would be handled (copyrights, etc.).
But this could be worked out.
We have wikipedia for listings of well-known people.
How about a "prole-pedia" for the rest of us?
Want to see a site that provides [sort of] an example?
Go to findagrave.com.
The famous AND "the unknown" -- all on one site.
Anyone can create an entry there.
Granted, its focus is relatively narrow, but it could become one of the more enduring sites on the net.