In the case of the Classic and Classic II, here's the remote cause of why they act up so:
Proximate cause is indeed capacitors, just like the killing of Archduke Franz Ferdinand.
Remote is that the Classic was made after Apple gave up all semblance of "computer as reliable washing machine/toaster/console TV or radio appliance" thing and instead made it a cheap for the day computer. That is why my Mac 128k has only a minor issue even after it turned 26, while Classics have been having serious issues for years now. (I mean, some were even lemons from the factory, so great was the paradigm shift in what Apple's computers were supposed to be. Darned thing too, as I loved a Classic I had until it had a failure not worth my time to repair. (The 128k is much more worth fixing its issue however, I just have to get the money together.) This is equivalent to the increased militarism and jingoism during Europe's so called belle époque, or "Beautiful Age". I know there are some fine people from Europe on here who would appreciate an analogy between European History and our favorite pastime, which is classic Macs. From an uncouth American, at that!
Thanks so much and have a great day!