For my 2p worth ( Thats allits worth ).
My current Linux Laptop, is my truty old ASUS ROG.
With some Laptops, you have dual GFX ( Intel & nVidia ) and I got 2 of these, Clevio and a HP and they both run Linux great, but the dual GFX has been a headache when I last tried it. I am however told that it no longer a pain, but the ASUSROG hasnVidiaonly and so no issues. Its flawlessly reliable and while itsstarting to showitsage, it does everything I need it to. I have also got a 250GB mSata and 2x2TB Sata HDs and so it has plenty of space.
I have seen far too many laptops with corners cut so badly, that they are simply useless junk. I have seen things like RAM and HDs and even batteries thatare soldered and so dont bother with those, and also if you get one with a DVD or BluRay ( Getting rarer ) then make sure it has a mini sata connection and then you can add any generic drive, or evenconvert it to addanother HD into it.
Another great Laptop that I used to have was my old HP DV6 - it was an old 1.6Ghz I7 and it had fairly low spec ATI GFX but it was still able to play many basic games and it ran Linux perfectly... The Keyboard was lovely for alaptop and I do miss that.
Another issue that I have noticed, with HP is that if they are AMD Based, then they seem to magically drop dead 15 minutes after the warranty runs out. Intelbased and they are ok... I hate that because I love AMD.
Fujitsus - The ones I have had, all seemed to be so rotten with the Disk Controler, thatevenchanging the Boot Drive to an SSD oftenmade ZERO Difference.
If I had to chose, then I would go for MSI, ASUS, GIGABYTE first, then HP, Dell and Toshiba.