After you do a search there's a 'tools' button. Clicking it gives you a dropdown with the option to change from 'all results' to 'verbatim'. There's also the 'Advanced Search' https://www.google.com/advanced_search where even if you enter a word in quotes in the 'this exact word or phrase' box you still get results without your query.
I don't have an example query, but it happens all the time. I put a query in quotes and google gives results that neither have the quote in the page blurb on google nor on the destination page.
Having to click around to get a normal search is clearly an anti pattern. Forcing someone to reach for thé mouse rather than simply typing is an insult.
The default search engine can be changed in the browser so that it always invokes Google Search in Verbatim mode. However, there is a side effect that Wikipedia is replaced with strange mirrors in the search results. And some of the desirable fuzzy searching is also lost.
I don't have an example query, but it happens all the time. I put a query in quotes and google gives results that neither have the quote in the page blurb on google nor on the destination page.