Use the adjective paranormal to talk about things that are outside of normal experience, like ESP, ghosts, and UFOs.
You might describe your friend's uncanny ability to bend spoons with her mind as paranormal, or beyond a scientific explanation. While many people don't believe in any kind of paranormal events, there are those who see or hear things they can't explain rationally. The Greek word para, "against, or contrary to," is paired up with normal: if it goes against what's normal, you can probably describe it as paranormal.
adj not in accordance with scientific laws
not in accordance with or determined by nature; contrary to nature
beyond normal physical explanation
outside the sphere of physical science
moving an object without apparent use of physical means
beyond the range of the normal or scientifically explainable
seemingly outside normal sensory channels
in accordance with scientific laws
adj seemingly outside normal sensory channels
perceiving things beyond the natural range of the senses
obtaining knowledge of distant events allegedly without use of normal sensory mechanisms
communicating without apparent physical signals