My one preference for "realistic" is horror movies. Not that I hate horror movies with unrealistic / supernatural bad guys or anything, it's just I really prefer horror movies where the heroes all make smart, informed decisions and still get eaten / killed.
Misery, Green Room, Psycho, Silence of the Lambs, Open Water, Jaws, The Road, Strangers, and The Hitcher are all great movies that I love and fairly realistic.
Even if you want to throw some supernatural in there, The Thing, Alien, 28 Days Later, and The Conjuring also somewhat fall into that category.