This is my first Honda. Have a VW and BMW and had Toyota's before this. Compared to the VW and BMW, this is very reliable. So far the only thing broke was a door lock actuator which was fixed free under warranty. We occasionally go for long trips (~1200 miles one way) and it never had any issue. A very reliable vehicle.
Bad -> MPG and tires. With city driving only, i see it ranges from 13 to 18. Highway, it is 23+. I take care of my cars really well and seems this mpg is normal for the vehicle of this size. The tires last only like <25K. Tried Yokohoma tires after the OEM. Next need to try something else like Pirelly. Aligned once and all were in good shape.
Maintenance - i changed the transmission fluid, brake fluid and power steering fluid at 30k. Planning to do the same again at 60k. Also cleaned the MAF sensor and air/cabin filters (they were not dirty at all). Using 0W20 full synthetic oil and changes it when the MM shows 15% life. Also use the Techron once a year. Other than the brake job and TB job at 100k, i am not expecting any issues. Honda battery does not last long (multiple people experienced the same thing). Changed 1 time and then switched to the Auto zone brand.
At five years and 56,000 miles we find our Odyssey hasn't aged as much as I have, thank goodness. Vehicle's outside appearance is still very good, interior shows little wear, engine still sounds and feels sound, transmission doesn't whine, gas mileage still ranges around 20 to 24 mpg (on the road), handling hasn't loosened up to any significant degree and resale value is excellent. The problems I have with this vehicle have to do with braking (although there's never been a loss of braking there's a softer pedal than I like) and when you do longer road trips across the prairies you have to be aware you're not driving a Ford, for example, with a Ford dealer and shop in almost every town. With a Honda reliability is mandatory because dealerships are generally located in cities and often cities are few and far between. So, we do like our Odyssey because it's been a great "buy" and a vehicle that lives up to its reputation.