One problem related to transmission not engage has been reported for the 2003 Jeep Wrangler. The most recently reported issues are listed below.
Vehicle: 2003 Jeep Wrangler sport since purchasing the vehicle in 2003, I have had problems with the transmission. Automatic transmission shifting from 2nd to 3rd, sometimes higher would cause vehicle to wind up and then harshly shift into gear. Other times, the transmission would not engage at all. Have taken vehicle to dealership several times for repair (under warranty), three times they couldn't find the problem in the computer. They replaced converter most recently. Today, was driving in vehicle and suddenly transmission problem reappeared 1000 times worse - wouldn't accelerate beyond 30 mph, then no higher than 20 mph, and then 10 mph until it wouldn't engage at all. Was stranded approximately 40 miles from home. Had vehicle towed to dealership and am waiting for them to look at after long holiday weekend. I am requesting they give me a replacement vehicle as I believe this has been a problem since its purchase and they haven't been doing their due diligence in resolving the issue.