Well, the newer movies having real witchcraft in them might be a pointer. However, the first movie isn't obviously demonic, but as you watch it, you feel it... you can feel the dark power passed off as "adventure" or "suspense".
The way the game worked, how it pulled you in, threatening to destroy your world until you finished it... but the most demonic thing of all was the drumming. The drumming of the Jumanji game calling out to you. How it got louder and louder the more you ignored it. How it never ended, until you answered the call and fell it it's trap... I could hear it in the middle of the night after watching the movie.
Trust me, I don't use the word demonic lightly, but that movie fully deserves the title.
