One problem related to transmission not engage has been reported for the 2006 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2006 Honda Odyssey based on all problems reported for the 2006 Odyssey.
I was making a three point turn in a parking lot and when I put the car in reverse the car would not engage. It acted as if it were in neutral. I have an appointment to take the vehicle into a dealership next week. Forums state the this has occurred quite often in Lexus.