What kind of websites do you want to discover other than personal websites? Why not use general purpose web search?
For example we should think how we can evolve old directory like this one: https://wiki.archiveteam.org/index.php/Dmoz
Here is the new revived version of it: https://www.curlie.org/ but for sure something more sophisticated can and should exist.
What kind of websites do you want to discover other than personal websites? Why not use general purpose web search?