Gentoo can be automatically optimized and customized for just about any application or need. Extreme configurability, performance, and a top-notch user and developer community are all hallmarks of the Gentoo experience.
Taken from the Gentoo website: "The goal of Gentoo is to strive to create near-ideal tools. Tools that can accommodate the needs of many different users all with divergent goals. Don’t you love it when you find a tool that does exactly what you want to do? Doesn’t it feel great? Our mission is to give that sensation to as many people as possible."
Gentoo: a source-based distribution that can be optimized and customized for just about any application or need
Porteus Kiosk: a lightweight operating system which has been downscaled and confined to allow the use of one application only - the Firefox web browser.
Redcore: explores the idea of bringing the power of Gentoo to more people. It aims to be a very quick way to install