Psychic predictions

If someone successfully predicts a statistically-likely event, they really haven't accomplished much.

What Science Is

The core quality of science is that it makes testable predictions

Earthquake prediction

As of this post, scientists cannot predict earthquakes like they can the weather. Instead, they are limited to evaluating likelihoods of earthquakes in certain areas (ie, an area like Los Angeles is more likely to have an earthquake as it lies on the San Andreas fault, as opposed to Utah which does not rest on any tectonic lines).