@simon_brooke @wonderofscience @Physicsj There are so many different random factors in even just one star system that you'll inevitability end up with a number of strange looking coincidences.

Though the biggest one is the Sun having 400 times the diameter of the moon and also being 400 times as far from Earth, making them look nearly identical in size.
Annular eclipses should be extremely rare in a galaxy, but we just happen to get one.