Our individual experience doesn't mean much. With so many failures with laptops, it mostly depends on our luck and also on how we use them.
But for what it's worth, in the past few years I went through several laptops from Gateway, Toshiba, Sony and Dell - mostly higher-end models from each brand. All of them had some problems over the years, but mostly minor. Surprisingly, I had the most problems with Dell Latitude, which I expected to be the most reliable of them all: I replaced the DVD-drive, fan, speakers, power supply and twice the battery. Thanks for the 3-year warranty and Dell's superb on-site service, I didn't have to pay anything, except for the batteries, which are not covered by the warranty.
My best experience so far, was with Sony. It's more than four years old now, but my daughter is still running it. It's not as powerfull as my Latitude, but the screen is actually much better. The only issue with it was a broken power connector (and that was probably from abuse). Fortunatly, I was able to find a local computer shop that fixed it for cheap, without replacing the motherboard. Toshiba served me pretty well too.