Since it’s one of my favorite show’s, I’ll happily provide the details. Aside from magnum’s repeated “little voice” (which I think is seen over the run of the show to be an actual psychic power, not just intuition) there are these episodes that have “actual” supernatural events:
Season 1:
**Missing In Action **- Magnum works with a woman with “psychic” visions that are shown to be real.
Season 2:
The Woman on the Beach - Magnum investigates a “ghost” that Rick saw. After some investigation, it is found that the “ghost” is someone pretending so the actual murder that was committed in the past can be solved. But it is strongly implied the actual ghost led Magnum to her body, and was seen on the beach at the end -or was she?
Season 3:
**Flashback **- mostly a dream sequence, however some important actual clues came from the dream, stuff Magnum couldn’t have known otherwise.
Season 4:
Home From the Sea - Magnum treads water for 24 hours, and telepathically directs Rick to the right spot in the ocean to rescue him.
Season 5:
Mac’s Back - Magnum has everyone thinking he’s cracking up when he sees the late Lt MacReynolds alive (turns out is a guy who just looks like him). But the real dead Mac shows up at the end of the episode - or does he?
Fragments - Magnum works with a psychic to prevent her death.
Season 6:
Deja Vu - Magnum’s “visions” help solve the case.
Rapture - I admit I’m not as familiar with this, to know how supernatural it was, but Magnum sees a dead boy while diving. My memory is that he really did see a ghost.
Season 7 -
Limbo - Of course, you have to include the one where Magnum dies and helps save his ex-wife, works again with Mac, conjures up donuts from nothingness, and communicates with the living from the titular land, before he walks off into the afterlife.