There was of course the case of the Eastern L1011 en route from the Bahamas to Miami. All of the O rings had been left out by maintenance. The crew ended up relighting the first engine that they had shut down when the oil disappeared from the other two. Luckily there was just enough oil left in it to get them to Miami.
I also heard the tale of an AA crew who got airborne from LAX in a DC-10. Shortly after take-off they got a fire warning in one engine which they shut down. Then they lost another engine (can't remember why). They saved the day by relighting the original engine.
It transpired that the original fire warning was spurious but, in any event, a burning engine will at least produce some thrust when things become critical.