One problem related to wiring has been reported for the 2005 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2005 Honda Odyssey based on all problems reported for the 2005 Odyssey.
We have owned out dark blue 2005 Honda Odyssey for approximately 5 years. Recently, I am finding that the paint along the roof and side/front trim panels is chipping away. I have attempted to sand some of the bed spots and paint /protect again, but it is no use. The problem seems to be with the base layer below the blue paint. I have seen where this was identified, but I do not know where to go for more information on this defect the second area of concern is in the wiring for the radio and temperature control. There seems to be a loose wire or connection behind the panels. The back-lights for the radio and temperature control will turn on or off with no warning or indication as to why. The systems themselves work fine, it's only the visible lights that flicker, or turn off and on with no pattern. My fear is that it is an electrical problem that may cause a fire if the crossing of wires or shorting continues. This will happen when driving, sitting still, car off (power on), there is no common flag or trigger that would point to a problem. And all functions work (even when lights are off). Also, the car just started to vibrate when acceleration between 55-65. My mechanic stated that this may be due to faulty axles or possibly the transmission, both of which have open issues with Honda and to check with you first.