Biggest problems you are likely to run into:
Hard drive drivers if you are using any kind of computer with a RAID system or a different SATA configuration
Video card drivers, which can result in lower quality graphics if you dont get the right driver, but, it should still work fine nevertheless
Sound drivers, it seems a lot of manufacturers manage to make sound drivers an issue... to think, the same technology since 1989, and they STILL cant figure out how to make it as universal as possible, yet, Linux will probably handle it fine...