Honda reliability is second to none. I personally know 3 people with over 300,000 miles (no, that's not a misprint) on their Hondas (2 civics, one accord). I have nearly 200,000 on mine (civic). All I've done is scheduled maintenence (except brakes. I drive HARD so I go through brakes a little faster than average). The engine pulls as hard as it did when it was new, and it uses no oil. Frankly I wish the damn engine WOULD die and give me the excuse to swap a bigger one in
The suspension is getting kinda soft but it's been driven on northern pothole filled roads all its life, and I find any suspension that lasts 200k miles impressive no matter where it's driven.
There are only two things you must religiously do with Hondas. Oil changes every 3,000 miles (the engine has very tight tolerances so it does not like dirty oil at all) and replace the timing belt every 90,000 miles. Hondas use interference engines, so if the T belt breaks while under load you have an expensive engine repair coming.
All that said, Hondas are built a little cheaper than they used to be. Good example is that they no longer have the rear hatch/liftgate release switch by the driver's seat like they used to. A lot of them have turned to MacPherson struts rather than the old double wishbone suspension (This is Honda's worst crime ever IMHO - the double wishbone was FAR superior). Their engines are still first rate, however, and none of their cost cutting has changed anything that would effect reliability.
If I could stomach an SUV and did not plan on doing any serious offroading, the CRV would be on the short list.