A couple of days ago I posted the list of the 36 dramatic situations, but what I didn't do was show any examples of them in use. I thought today I'd just walk through a couple of examples with a few game systems on the inspiration that the results would give me.
Game: Babylon 5
Roll 1 - 5: Pursuit
The fugitive doesn't have to be fleeing a misunderstood conflict here, but it's an option.
Scenario A: A rogue telepath has come to Babylon 5 in search of the underground railroad that can smuggle him away from the every watching eyes of the Psi-Corp. Of course, where there are telepaths involved the Psi Cops won't be far behind and are willing to turn the entire station upside down and everyone's lives to recover the telepath or stop them. The characters are hired to help the pursued, or are command staff on the station caught up in the entire drama. Optional extra: the telepath accidentally scanned someone and knows some dark secret that could bring down governments/expose dirty secrets/provide an unfair advantage to one of any number of corporations (maybe InterPlanetary eXpeditions is after them as well.)
Scenario B: It is the characters being pursued rather than getting caught up in a pursuit. On a previous mission they killed a Narn in the course of their actions. Now the Narn's brother has declared a Blood Oath against them and will not stop until the characters are dead. He hasn't found them yet, but they hear someone is looking for them and has a bad attitude.
Game: Aces and Eights (or any western RPG)
Roll 4 - 5: Necessity of Sacrificing Loved Ones
Scenario: The players are sheriffs or deputies of a small town when they hear about a local land baron forming a grudge against the owner of the local hotel. The grudge is not justified and the baron is obviously in the wrong. Things escalate to the point where the barons men are sent to town on the instruction to kill the hotel owner, however in order to keep the players out of the way they have first kidnapped the wife or child of one of the characters. Now they need to decide what they're willing to sacrifice for law and order, their family or the law.
Game: Star Trek
Roll 2-5: Abduction
Scenario: A member of the crew has been abducted from the ship by a newly encountered alien race that a treaty for a valuable resource (dilithium?) has just been signed with. It turns out that this is a normal part of their culture after a treaty, to take a hostage from each side to help secure the treaty and they fully expect the Federation representatives to randomly take one of their people involved as well. It is up to the players to resolve the situation without breaking the treaty.