The problem is, with most of these, that is the way the universe works. It is not random chance, it is the forces of the universe making it happen. The people who study this, call it synchronicity.
Laura Buxton, Dennis the Menace, Beatrice Choir, Michael's daughter are all examples of synchronicity. And they happen very regularly. In fact, you can get in synch with your life forces and have synchronicities happen all the time. Need a piece of information? Put it out to the universe, and you are likely to meet someone who will give it to you.
The lottery winners is just an example of millions of people playing millions of times, and... viola, someone wins.
The sports records are bit harder to explain. As, if it is possible, it is just a matter of time. But each of the records you stated probably need a little push from universe.
That reminds me of a song (or maybe two):