One problem related to clutch broken has been reported for the 2004 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2004 Honda Odyssey based on all problems reported for the 2004 Odyssey.
While on a sales trip 180 miles from home--experienced chugging betweens gear shifts 1-2, and strong slipping between 3 and 4. Drove directly to the nearest Honda dealer. Transmission diagnosed as clutch failure from codes by Honda dealership mechanic, after test driving and reading codes. Indicated it is still drive-able, if one is careful. Limped home with extreme care during acceleration. Drove approx. 50 miles to OH turnpike. While driving on the ohio turnpike, experienced quickly deteriorating power during slight prolonged incline-- which led to complete, 100% failure within 2-3 miles. Was left stranded on the berm to be towed home.