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Sounds like you may be interested in https://ooh.directory/

Note that ooh.directory only indexes blogs (that have RSS feeds). Personal/indie sites that have other structures are prohibited.

Which is fine, but means it isn't a one-stop-shop for indie sites.

It's close enough. Ideally the RSS-friendly sites it links to will post their own links to non-RSS pages of interest.

https://wiby.me/ returns hits that "feel" like the old web, mostly plain HTML.

I think said sites need to be submitted first, no? In any case - as a fan of the ol' web - i favor this type of search engine! :-)

That's the one I referred to as the old-school website one.