Yvain is not hugely on board with the idea of running correlations between everything and seeing what sticks, but will grudgingly publish the results because of the very high bar for significance (p < .001 on ~800 correlations suggests < 1 spurious result) and because he doesn't want to have to do it himself.

The standard way to fix this is to run them on half the data only and then test their predictive power on the other half. This eliminates almost all spurious correlations.