POV shots from the monster or the slasher stalking his target are fairly common in movies. But, considering how many movies have been inspired by Halloween, I'm surprised I haven't seen more people use what was an extremely effective technique in the original:
After the opening teaser, in the first act we don't see out of the monster's eyes, but instead watch the main characters with the monster's body or his vehicle framing the scene. That creates this constant, lurking presence penning the characters in, and feels much more foreboding than just looking through his eyes.