A heist scenario
In 1985, eleven years after his resignation, Richard Nixon replaced his Secret Service detail with private security.
The year is 1987. The players are a team of robbers from New York who have decided to stick up a bank in the suburbs (Nixon lived in Saddle River, New Jersey for years after his presidency). Their plan is to be in and out in two minutes--like the Stopwatch Gang. Some players will need to guard any civilians who happen to be in the bank while others get the tellers to let them into the vault. Before the two minutes are up, they hear a bullhorn outside asking about "demands" and saying something about "the President." They belatedly realize that they have accidentally taken Richard Nixon, former President of the United States, hostage.
Time to decide what to do! The best case scenario is for them to make it out without hurting anybody and go into hiding, but (as Nixon himself gleefully points out to them) how long will they be able to remain undetected from the biggest manhunt in American history?
Enter our final player character: the lead negotiator for the Reagan administration. This player's number one goal is to ensure the safety of the former President--Iran-Contra is in the news and it would be an absolute disaster if the administration bungled things and something happened to Nixon. (Does everyone in the Reagan administration agree?) The players, then, are all basically working together--how can we come up with a plan so that everyone can make it out alive, when one side has every incentive to deploy the full force of the US government to track down the other side as soon as the former President is released?
This scenario probably works best with people who know enough history to think of options like "get us on a flight to Cuba" or, perhaps better, "get us on a flight to Iran." A lot of the fun will probably come from the portrayal of Nixon and really Getting Jowly With It.