The story of Frankenstein's Monster examines the moral implications of ensoulment through science. It's entirely paranormal.
King Kong and Godzilla both violate strength to weight limitations on size and mass.
Your categorization had problems.
The symbolism and morals of the Frankenstein narrative don't change the fact that within the narrative, Frankenstein uses entirely material means (body parts, surgery, chemicals, and electricity) to create and animate the monster. The overwhelmingly likely fact that those methods could never actually work in real life don't make them paranormal.
Likewise with the structural mechanics of King Kong and Godzilla. Being impossible in real life doesn't make a fictional concept paranormal.
The Warp Drives and Transporters in Star Trek aren't paranormal, even though they do things that we believe are almost certainly impossible and even though they sometimes malfunction in eerie ways. Technicians, not psychics or wizards or exorcists, are assigned to repair them after such malfunctions. But some of Spock's and Troi's powers are paranormal, along with those of many aliens such as the Q.
(In other SF, the word "psionic" or just "psi" is often used as code for "just like paranormal, but somehow scientific instead," just as in real-world academic parapsychology. "Psionic" is closest to what paranormal phenomena would be if they were even partly empirically verifiable. Hence, "psionic technology," "Psi-Corps" of psionically empowered police, etc.)
These are exactly the distinctions my categorization was intended to point out. "Paranormal" is often used to modify "phenomena," as if paranormal is a type of phenomenon. But that doesn't hold up under close examination. Paranormal doesn't describe a phenomenon itself so much as the explanation or model of the phenomenon's cause. Doctor Frankenstein, Ron Weasley's mother, and Thomas Edison can all make nonliving matter speak, but only one of those cases is paranormal.