One problem related to alternator/generator/regulator 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.
Car will only run from 3 to 8 days. Then has to jumped off. New battery. Alternator and battery checked no problem. I think it might be the fuse boxes or something electrical. Vehicle is stationary.