Depends... the code that runs an insurance company is one thing. The embedded computers would likely have been the biggest problem - things that dispense medicine, control the power grid, etc.

Few embedded systems depend on the date, do they?

I don't have first hand experience, but from what I understood, yes. Particularly in monitoring devices: "Shut this off if you haven't received a signal in x minutes". That sort of thing.

Thanks.

Though I imagine that those watchdogs might have more problems with the year 2038.