Composite meaning the best feats of each category, as usual, not stacked. His goal in these cases is to kill his target. And yes, this is the serial killer from the Halloween series not the now-mostly forgotten actor
In every scenario the characters/story are proceeding as normal except where noted. He is also appearing in the general city/area but not close enough to immediately be seen/kill his target. Also in every in story scenario there is no benefit from killing other figures aside from his target although he may if he wants to.
1) Predator from the first movie. He appears in the jungle as of the movie, around the time the first man is killed.
2) A Xenomorph (he knows about acid blood). He appears after the Xenomorph is fully formed and running around the ship in the first movie.
3) The Batman as of The Dark Knight. He appears in Gotham just after Joker's first bank robbery goes off.
4) Predator 2, right after The Predator takes out the group of enemies/El Scrorpio the first combat scene of the movie.
5) The Thing. He appears some way outside the base right after The Thing transforms and is burned in the dog Kennel. He does not know who is infected and in the case has to actually try and kill the right individuals instead of just taking the easy way out and killing everyone.
6) Jason Bourne as of movie 3. He appears around the area Bourne is at the start of the film.
7) Freddy vs Jason: He has to kill both of them at some point. Appears around the beginning of the movie, doesn't know where they are.
8) Army of Darkness: Appears some distance from the castle at the start of the movie. Unlike the other scenarios Ash is missing here. He has to take out all the Deadites. If he gets turned he loses.