With the caveat of "Casually browsing the web" I would, actually. They have been near completely subsumed by Ipads or Phones.
But even with dramatically slower sales, that's around ~300 million sold per year. By contrast, the iPad is selling about 60 million units a year. In the US at least, the number of people that replaced their computer with a phone is negligibly low, and it's largely made up of extremely low income families.
Incidentally, phones are also headed for the exact same fate as PCs. The one saving grace they might have is that lion batteries die over time which is why Apple is quite adversarial with regards to users changing their batteries, but they are already losing that fight on multiple fronts.
Handspring and Palm sold millions of devices, and so did HP/Compaq, while Apple couldn't get traction earlier with the Newton. There's no real technical reason why the Newton was destined to fail, just as the other devices ascended and then fizzled out. There are network effects at work, society has to be receptive, and the price has to be acceptable.
Which reinforces the survivor bias, doesn't it? Often the product theories are more "look I succeeded once, so I did it right and you should copy me" and less "I was at the right place at the right time, the technology was there and society was ready for it".
I don't know the definition of a "successful product", but "selling billions of them every year" doesn't exactly sound like a failure to me.