The same applies to FAX machines. While they may keep going, the date functions will no longer work properly. Alarm systems often have embedded chips, as do some coffee makers, microwaves, stoves and more. Of course, alarm clocks and watches also may not be Y2K ready. Better have it checked.
Some cars have chips that tell it when it is time to be serviced.
While most car manufacturers say no real problems will happen, it is better to be safe than stuck in 2000. There is good news, though. Most household items will at least keep their basic function despite being messed up about the date. So your coffee machine will still brew that perfect cup, even if it thinks the year is 1900. Unfortunately, there is no one place to go.