I too would like to know of any such events or any other evidence of the spiritual impacting on our physical lives here on Earth, which could be verified by reliable observers.
The closest I have come so far is stories of some stories of Israeli doctors who were strong devout athiests who became frum after witnissing recoveries that should have been totally impossible with absolutely no room whatsoever for any mitigating circumstances such as a misdiagnosis or some treatment working better than expected or anything at all to allow for any ‘natural’ explanation.
But I only heard these as stories that had been retold many times by the time I first heard them and I have never been able to get the names of any of these doctors or otherwise verify that the stories are true.
I wish I could, though.