WordNet sense 1 (supernatural forces and events and beings collectively):

occult

WordNet sense 2 (existing outside of or not in accordance with nature):

preternatural, transcendental

WordNet sense 3 (without material form or substance):

metaphysical

WordNet sense 4 (being or having the character of a miracle):

marvelous, miraculous

WordNet sense 5 (suggesting the operation of supernatural influences):

uncanny, unearthly

WordNet sense 6 (resembling or characteristic of a phantom):

ghostly, spectral