I think Debian has the best principles out of any distro. Debian follows a list of principles called Debian Free Software Guidelines (DFSG). You can read the principles and see if you like it.
The thing that I like the most about Debian is that the proprietary packages and FOSS packages are on different repositories. You can install Debian with no proprietary software and leave the proprietary repository disabled to have a completely FOSS system.
On the other end of this spectrum, there are distributions like Debian and Gentoo which have incredibly robust organizations with constitutions, bylaws, committees, elections, referenda, etc. Then there are a lot of distros developed on an ad-hoc basis somewhere in-between these two examples.
