Part of the exhaust fell off at about 5 years. It was fixed and no problem since then.
The nearside back door has a little rust spot at the top of the window.
The windscreen outer (cosmetic) seal became loose on the driver's side. This was not the main water seal, but I fixed it myself with a little silicon sealant.
At the last Honda biennial compulsory inspection, they insisted to replace a drive shaft that had some rust, due to probably a stone knock. It was quite expensive for the drive shaft and some brake work, but after 16 years, I am not complaining!
The car has performed perfectly over 16 years. It always starts first time. I get it serviced twice per year by Honda (at the place I bought it). It has taken us on many trips to the Japanese mountains. Runs along very well at 120kph on the motorway. Will do 160kph, but don't usually go so far over the legal limit of 100kph. There is enough oomph to get onto the motorway quickly and safely.
Not particularly great in snow (needs chains on the front) but very good on wet roads. It has standard mud and snow tyres, which wear somewhat more quickly than ordinary road tyres. It is on its third set.
Now on its fourth battery. I am keen about battery condition, because it is very cold in the mountains. Has started well in -15C.
Does 9-10km/L, so not really economic compared to recent cars. However, it is long paid off, so little point in buying a new one (though Honda always hopes!). I plan to attach a hitch and use a trailer to take stuff to our new country house in the mountains. Will use the car until it reaches 20 years, and then consider something else.
I am not so keen on the new CRV. There are more choices out there now, and in Japan, every manufacturer has the same level of reliability.