One problem related to engine burning oil has been reported for the 2004 Jeep Wrangler. The most recently reported issues are listed below.
2004 Jeep Wrangler burning alot of oil. Mechanic refuses to repair. The engine used to burn a half a quart of oil between oil changes. That has increased to 1 quart of oil between oil changes. The manufacturer said this was normal and refused to fix the vehicle. The driver's side plastic window cracked.