I don't know of anything important that's running on anything that can be reasonably called AI.
I think we can get by without Siri.
Of course, if you include the entirety of machine learning under the AI label, then whatever. But in my opinion, a principal component analysis does not an AI make. Statistical inference has been around since before computers were invented.
Meanwhile, you've got marketers that are also trying to use that definition, in order to sell you on some software solution, despite it being oxymoronic.
Two better definitions of AI that I'm a fan of are "Algorithms that model intelligence" (where "intelligence" is the ability to use knowedge in inference), or the broader definition of "Second-order algorithms" or algorithms that, rather than encoding a process that finds a solution, encode a process for finding a process that presents a solution.
My objection to the parent comment still stands; our world is not running on that.
For example, Wolfram Alpha, or OpenAI's algorithms that can learn how to play Super Mario will fit the definitions you provided, but our present world does not depend on systems like that.
For one, I think it's silly to apply that moniker to something that's not at least interactive.
Machine Learning / Data Mining pipelines that I've touched were running nightly, and furthermore, the systems they powered could continue functioning even if the pipelines crashed / weren't running.
Because with ML, both the input and output are data (information, at best). ML doesn't interact with commands.
The whole point if "A" in AI is that it's contrasted with Human Intelligence. Nightly batch processes simply ain't it.
Sure, people will still slap that label on anything, but it's boring to do so in the context of this discussion :)
I for one am highly skeptical that the kind of automatic personalized targeting that AI enables is actually worth the price, but the industry overwhelmingly believes it is. So, removing AI from the picture would be considered to greatly diminish the value of advertising on the web per industry pricing, and with the ad money, much of the web would dry off.