Oh, while I'm thinking about movies, here are some other tropes (again...big thanks to Ridley Scott and Alien and Speilberg's Jaws):
Make the PCs know that there is something out there hunting them. Develop signs, close calls, carnage in its wake, etc.
Create a moment where PCs/players are afraid that the predator will attack from the darkness or a hidden area (noises that alert the PCs to something there), and then have a harmless animal jump out (the cat in Aliens...or something like wide-eyed deer leaping out through the bushes). Then, when the tension level falls because the group did not encounter the predator, have the predator come from a different direction. (A variation of this was used earlier by Spielberg in Jaws when Hooper is in the shark cage looking in one direction, but the shark comes from the opposite direction).
Introduce one or more NPCs that become memorable and play them so that the PCs feel for them. Then...of course, kill them brutally or have the PCs find their horrible remains at an particularly tense moment.