One problem related to ignition switch has been reported for the 2001 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2001 Honda Odyssey based on all problems reported for the 2001 Odyssey.
Odyssey had 85,517 at the time of incident. Ignition key was removable with shift lever out of park. The dealer replaced switch at "my" expense. Nhtsa in November of 2007 had issued a recall campaign number o3v422000 on the ignition switches for the Honda accords (1998-2001) with mention of some Odysseys and acuras to be included in the campaign. Since that time they have had a recall with their 2003-04 pilots (campaign #s73/service bulletin #13-011) for this same ignition switch problems. I contacted Honda via a letter on July 17, 2013 asking for consideration for a refund citing the above mentioned documents/campaigns, etc. Honda of America contacted me via the phone within a week and stated that the van now has over 150,000 miles and that the van would have to be under 70,000 in mileage. I then asked why then they would be recalling the 2003-2004 pilots and that there would be no way any of those vehicles would meet the criteria of 70,000 miles. They had no answer but simply denied my claim. Fyi. My van has had three transmission replaced. First time at 30,000, then at 65,000 and then the last time just after 100,000. Clearly my model has issues but I am disappointed that Honda will not back up their products.