Sadly it breaks down after Unbreakable.
- You have the guy who can see dead people.
- You have the guy who is really strong and tough.
- You have the guy who believes in fate or something.
- You have the guy who grew up on a weird commune.
- You have the guy who has contacts from faerie (that one could be useful).
- You have the guy who can run away from plants.
Dr. Venkman (Bill Murray) gets cancer from wearing the proton packs. He uses the Ghostbusters' database of the occult to reseach a cure. He finds one that will make him immortal, but it requires him to sacrifice millions of New Yorkers. The Ghostbusters have to turn against one of their own to save the city.
It's a comedy!
I also always thought Chloe would die in a way that would result Superman always going out of his way to save Lois.
On the other hand, maybe Skynet's fatal flaw is that it tends to create overly complex plans. That can happen when your A* search heuristics are not admissible.