search.marginalia.nu is a small independent do-it-yourself search engine for surprising but content-rich websites that never ask you to accept cookies or subscribe to newsletters. The goal is to bring you the sort of grass fed, free range HTML your grandma used to write.
One high-quality non-commercial web site that this does not seem to index is Wikipedia.
I see results from en.m.wikipedia.org weirdly, but none from the main site.