If you spend minutes waiting for your computer to boot up to check your email, you'd better reconsider your options. Splashtop is a Linux distribution usually distributed on a ROM chip and includes a web browser and Skype client. Some systems from Asus and Lenovo include Splashtop and you can get a list here. Systems with Splashtop include a regular operating system, such as Windows Vista or Windows XP.
Other Splashtop-like Linux-based systems also exist, such as Dell's Latitude ON, and Coreboot.