intuitive — perceiving directly by intuition without rational thought, as a person or the mind.
psychic — of or relating to the human soul or mind; mental (opposed to physical).
visionary — given to or characterized by fanciful, not presently workable, or unpractical ideas, views, or schemes: a visionary enthusiast.
clear-sighted — If you describe someone as clear-sighted, you admire them because they are able to understand situations well and to make sensible judgments and decisions about them.
discerning — showing good or outstanding judgment and understanding: a discerning critic of French poetry.
extrasensory — Of or relating to extrasensory perception.
far-sighted — seeing objects at a distance more clearly than those near at hand; hyperopic.
farseeing — having foresight; sagacious; discerning.
new age — of or relating to a movement espousing a broad range of philosophies and practices traditionally viewed as occult, metaphysical, or paranormal.
oracular — of the nature of, resembling, or suggesting an oracle: an oracular response.
penetrating — able or tending to penetrate; piercing; sharp: a penetrating shriek; a penetrating glance.
perceptive — having or showing keenness of insight, understanding, or intuition: a perceptive analysis of the problems involved.
prescient — having prescience, or knowledge of things or events before they exist or happen; having foresight: The prescient economist was one of the few to see the financial collapse coming.
prophetic — of or relating to a prophet: prophetic inspiration.
sibylline — of, resembling, or characteristic of a sibyl; prophetic; oracular.
spiritualistic — the belief or doctrine that the spirits of the dead, surviving after the mortal life, can and do communicate with the living, especially through a person (a medium) particularly susceptible to their influence.
telepathic — communication between minds by some means other than sensory perception.
vatic — of, relating to, or characteristic of a prophet.