One problem related to car stall 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.
I want people to know that Honda now has a software fix for shuddering transmission problems and shaking. Our 2005 Odyssey touring would shake between 35-45 mph. We had the transmission serviced several time and never had a broken engine mount. Honda just came out with this fix in late June 2012 and it seems to have solved our problem. Our Honda garage installed this software update for free even though we now have 122k. It only takes 15 minutes. Hope this helps.