Issues you might encounter include:
* Zetec Engine Issues: The 2.0L Zetec engine was common in the ZX3. Problems can include head gasket failures (especially if overheating has occurred), valve cover leaks, and issues with the intake manifold. These are more likely if proper maintenance (like regular coolant flushes and oil changes) has been neglected.
* Cam Shaft Sensor Problems: This sensor is crucial for engine operation, and failure can lead to a no-start condition.
* Oil Leaks: Various seals and gaskets can wear out over time, leading to oil leaks.
* General Wear and Tear: At this age, things like worn piston rings, failing timing chains (though less common than other issues), and general wear on internal components are possibilities.
In short, while no single engine problem is overwhelmingly common, a combination of age, potential lack of maintenance, and the known vulnerabilities of the Zetec engine mean engine issues are a realistic possibility with a 2000 Focus ZX3. A thorough pre-purchase inspection is highly recommended before buying one.