I well remember the DC-10 crash in Chicago. That plane really did lose an engine - as in came entirely off. In the process of coming off, if took out all the hydraulic control lines in the wing so the plane was uncontrollable, causing it to crash. My mother, sister, and BIL had been on that very flight less than six months earlier. It was flight AA 191 to Los Angeles.
Also flight 232, another DC-10, had its tail engine come apart on the way to Chicago from Denver. It also lost all hydraulics, but the pilots were able to control it well enough using engine thrust to fly it to Sioux City, IA, where they crashed at the airport. More than half the passenger survived.
This time, the rest of the aircraft was undamaged, and it was able to fly fine on one engine. Although the press is making a big deal about it, the plane didn't set down on the nearest runway, or even the nearest runway at DIA. Runway 16R (north to south) was closer for them and is the longest commercial runway in the US, at 16,000 ft. They, and the ATC, chose rather to fly them around to the south of DIA, over downtown Denver, to come into DIA from the east, landing going west, on the same runway that was being used for all the other aircraft landings at the time. They wanted to get back to DIA because they knew they would need the engine replaced, and United has their maintenance facilities at DIA. And they flew farther than the closest runway in order to land into the wind. I don't think those in charge felt it was that much of an emergency.