The electronic nannies are rather scary. I can't say that honda sticks out to me, in that regard.
I will say that I have never had a timing chain/belt fail on a domestic car. About the time you did the belt on the Odyssey, a bunch of other people were reporting the same issue. I also had Hondas with timing belt failures. None of those engines made it to 50K miles.
Another issue is the design. Hondas are clearly for miniature people. I need another 3 inches of leg room. The B-pillar also needs to be moved back, along with the armrest.
Growing up, we had a pastor that was a Honda fanatic. He went through a bunch of Hondas. Come Sunday, he would break down about 10 minutes from his house, or about an hour from the church. I'd drive down and tow his Civic to the church, then tow his Civic to a shop. The shop would "fix" the Civic, and it would break down again. Over and over. After a few months, the pastor would trade in for a new Honda, and it would break down. Engine troubles, overheating, transmission failure, broken axles, electronics, whatever. I must admit, after months of this, I was less than gentle with the towing. If the car self-destructed while being towed, oh, well. Honda had the pastor as a satisfied return customer.
Once, I suggested leaving his Honda, and we could send a tow truck for it. The pastor was afraid his Honda would be stolen. I just looked at him, and started to leave. We left the Honda, and I drove him home, sans Honda. The next week, I just drove by his Honda, picked him up, then drove the pastor back to the church. He did not say a word as we drove by the broken-down Honda on the way to church. On the way back, as we got close, I slowed, and asked if we should just put it out of its misery. He finally realized that I meant push the Honda off the side of the road, and let it fall into the gorge. He was horrified, for whatever reason. The Honda was a few months old, at that point. He called during the week, saying he had a new car. A few weeks went by, and his new Honda was getting him to church...until it broke down. Honda found a flaw in the engine design, and the block had cracked at a manufacturing defect. In a few years, he went through 9 Hondas. He wasn't alone. They were always disposable cars.
I could list numerous other failures, but I'm more picky that most people. Wiring harnesses, headlights, suspension, door hinge mounts, whatever. Flawed design. Junk.