Psychic (p s y c h i c) powers, aka psionics (p s i o n i c s) are a fairly modern conceptual invention, as something different from magic. There are plenty of modern films with psychic powers, like Firestarter, but there's little reason to use them in fantasy films.
The base concept behind psychic powers is that things that appear magical are, in fact, not, but are instead manifestations of the power of the human mind. This "we are the power" instead of "the power is out there" mindset has not been popular for the vast bulk of human history.
So sorry, no examples. I doubt you'll find any, as they don't make a lot of sense.