PCRT reports...
Here are my stats for the past 2+ months since I have had PC Repair Tracker:
43 - Dell
23 - HP (and HP-Compaq branded machines)
9 - Gateway
8 - Toshiba
6 - Sony
6 - Compaq (Not HP branded)
5 - Custom
4 - Acer
3 - EMachine
I have almost 2x as many laptops as I do desktops, but that is probably because Google ranks me super-high for LCD screen replacement. Dell has the market share it would seem, therefore, more repairs.
What is interesting to note is that out of those 8 Gateways, 6 of them were DC power jack replacement.. POS IMO. The build quality otherwise is.. ok, but feels cheap.
Dell has a good build quality overall so long as it isn't a budget laptop like a 1500 series. HP also has a good build quality, but I am routinely performing solder re-flows for the NVIDIA GPU on the DV6000 and DV9000's.
I like Toshiba, but they are always a pain in the butt. It's a solid laptop, but not service-person friendly. On some of the not-so-old models taking it apart requires that the palm rest is separated from the base about an inch.. and then you get to take off all the connectors and ribbon cables within that inch of space... assembly is a "B" as well.