I wanted to explain the Agile Manifesto to my Japanese colleagues, so I translated it into my (admittedly imperfect) Japanese. Kirara397 was kind enough to suggest some edits to my Japanese in the comments, so I incorporated them. Thanks Kirara! At any rate, have a look:
Individuals and interactions over processes and tools.
Working software over comprehensive documentation.
Customer collaboration over contract negotiation.
Responding to change over following a plan.
It can easily be applied to non-development teams as well. It's a good guideline for teamwork, I think, and has withstood the test of time.