We have a '99 Odyssey with 245,000KM (152,000miles), which has been excellent - except for two little glitches. You absolutly HAVE to do the transmission service when the book says. (24mo/48,000km) Otherwise, it's new transmission time, and Honda WON'T cover it if you haven't done the maintenance. Google "Honda transmission problems", and you'll see for yourself. Laid out ~$3500 to have ours re-built last year, but again, it was my own fault.
Other than consumables (brakes, tires, & timing belt), that's the only money I've spent on it. It still even has the original exhaust.
Since then, the rear wiper has quit, but I haven't fixed it yet.
