I consider AlphaGo - The Movie [1] to be a timeless classic that will never feel outdated. In my opinion, it surpasses even Hollywood productions, despite being based on true events and filmed live with real people. I'm ranking it as #2, though, because I still believe Steve Jobs' 2007 iPhone presentation [2] is the greatest live tech event ever captured on film. Hearing the crowd screaming when seeing some tricks and techniques ( eg. slide to unlock, pinch to zoom and scrolling up) on how to use the phone does really triggers some haptic feedback in my heart because we are now so used to these tricks that were pure magic back then.
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Agreed, I've watched the Alpha Go movie, I think, 3 times by now. It elicits strong emotions in me which I get very rarely from a movie or story.
I think it's due to the subject matter and people being very relatable to me. And it's real, filmed while it happened, instead of some madeup or retold story.