A burst capacitor can show up in many ways. Most dramatically the entire end of the cap can be blown apart, spewing paper and traces of chemicals around the computer. A tiny bit of liquid, but mostly its blown off as a nasty smelling gas.
However it can be a lot more 'subtle' a pin sized hole in the metal top of a cap, or sometimes the entire cap can appear swollen. Sometimes they burst at the bottom instead, in which case they may just appear to be leaning over (Of course to make it worse sometimes they are soldered with a bit of 'spare' leg so just because a cap is leaning doesnt automatically mean its failed.)
Sometimes on a cap that has burst the metal top might appear rusty at the seams, its not rust of course, but a reaction as the gasses escape.
Bad caps have found their way into some fairly high end products unfortunatly, but yes in general better brands will use higher quality 'japanese' parts which are much less prone to the badcap issue than say Caps from China etc. (Not saying all chinese caps are bad.. just those from certain factories produced in certain years..)
Its possibly an urban legend, but the story goes that some scientists stole a forumla for a new liquid to go inside caps, and sold it to another manufacturer. Unfortunatly the forumla was faulty, but this was not found before millions of caps had been distributed around the world.
Whether or not this is true, or if it was simply cap companies trying to reduce costs, and experimenting with different electrolytes we'll probably never know for sure. But what is for sure... cheap caps dont last very long. Many motherboards now use solid caps instead which are immune to this problem (and hopefully have a much greater lifespan).