I think a convincing refutation of the Bernoulli effect as an explanation of flight is the fact that some aircraft have symmetrical airfoils and can fly upside down. This is a less convincing argument to sailors whose boats don't usually sail very well upside down :)
Though I learned in my "Physics of Sailing" course that it would be technically possible to sail with the current instead of the wind by putting the boat upside down in the water.
I had the impression that this was the epitome of the way of thinking thought in a physics degree.