Fuel pump would work, believe it or not.

Weird fix- Second, less-worn key was the answer; I assume the coils werent' being powered?

In a perfect world, I would replace the ignition switch and keys, but...

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1998 VW Cabrio
2001 Audi SomeRoad A/T (no air suspension)
2003 Audi DeadRoad M/T (no vroom, for later)
2002 Audi NoRoad A/T (nothing under the hood, being rebuilt)