If that extra dimension is a gimmick to make otherwise boorish entertainment palatable, then why not add it to good movies? I know, genius right? Genius. I'm not talented enough to express the premise in paragraph form, so here's a list:
The Exorcist - Imagine the projectile vomit coming at you, 0 to 60, and adding to the horror. The key here is not to not fix what's not broken but to give the impression of floating barf. Follow levitating green chuck throughout the cinema.
That's actually the only example I have.