How about Duckduckgo?
That's a search engine, not a browser.Never mind, it's a browser too nowdays! I learned something new

But it's a
Windows beta, so not really useful for the rest of us.
This days search engine and browser are used interchangeably. So as you said, in the present world, the two are one. But from my finding, Duckduckgo is more of search engine and not really a browser. Look at it.
Duckduckgo