Probably the second worst thing that could happen is a flameout. Single flameouts due to lightning strikes are fairly common on airplanes with aft mounted small jet engines, and dual-engine flameouts have occurred. The reason for this seems to be the lightning channel sweeping past the engine inlet and disturbing the airflow. An airplane travelling at 450 knots will move 380 feet in one-half second, and a lightning flash with several return strokes can last that long. If the first lightning attachment point is at the nose, the lightning channel can sweep along the entire length of an airplane even if shorter strikes and slower speeds are involved. The temperature of the lightning channel itself can get up around 30,000ºC, which is not exactly what the engine manufacturers had in mind when they designed the engines for the operating environment. If a strike sweeps along only one side, it may snuff out one engine as it goes by. If the lightning channel orientation is side to side rather then more or less fore and aft (which is less common but apparently happens), two engine (or conceivably more, if there are more) could flame out...
Severe Weather Flying, Second edition, Dennis W. Newton, page 84.
Highly recommended!