The engine oil pan gasket can develop a leak. Leaking oil may accumulate on the exhaust system resulting in a burning smell. Replacing the gasket should correct this leak.
2004 Jaguar X-Type Problem Reports
Most Reported 2004 Jaguar X-Type Problem Reports
Premature automatic transmission failure is common. Diagnoses of the fault will be necessary to determine if repair or replacement is the proper repair.
front axle dislodged from transfer case...mechanic still has car. Mechanic has stated that he has seen this happen a few times on this model