One problem related to radiator has been reported for the 2003 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2003 Honda Odyssey based on all problems reported for the 2003 Odyssey.
Was driving home and started having shifting problems, took it in for service the transmission had to be replaced as well as the radiator. The radiator because I was told they would not warranty the transmission with out it. $ 4,371. 08 I was never told about any issues from Honda and I never received any thing from Honda. On 8/27/10 one year later I had to replace the transmission cooler. Then on 9/17/10 they replaced the transmission again. Now the second transmission only has 34,000 miles on it and now they just replaced torque converter and it runs like a truck. The Honda dealer did all the major maintenance . We have owned four Honda's but never again. My son has a 2002 civic and it is on its second transmission. If a recall was on these Honda they never sent me anything and I purchased it new.