Google (or better, use Kagi) AI hallucinations and you will get plenty of news articles with examples. Most notable one recently is the one in which an AI hallucination almost triggered a US military operation
I'm looking for a reproducible one. But even this (after looking at it) is an inaccurate prediction. We don't know what the underlying probability distribution of that prediction is - if it is high variance then we shouldn't be blaming AI since we don't have a human baseline.