Engine flameout after takeoff
One of the drills we regularly carry out in the 737 sim is that of an engine flameout / failure after takeoff (no fire, exceedences, severe damage, etc.).
With no apparent damage, we are often blithely told that we can carry out the engine failure / shutdown checklist once we've levelled off, and then attempt a restart.
In a genuine case of engine flameout after takeoff, however, would you really spend time trying to restart the engine, instead of getting back on the ground with one good engine as quickly as possible, just in case that one conks out, too (e.g., fuel contamination, FADEC problem (?)).