Iv recently read Emet Ve'Emunah, wich is a summary or statement of principles of conservative judaism.
So I was wondering jf there was something siimilar for the reform movement and orthodox. Though concerning orthodoxy, I am familiar with Rambams 13 principals.
I don't know that there is a parallel statement in Orthodoxy, if for no other reason than "Orthodoxy" is not a movement, but a massive collection of various communities. What such a statement might say if produced by Modern Orthodox rabbis at Yeshivat Chovevei Torah, versus modern/center Orthodox rabbis at Yeshivah University, versus the rabbis from any given Haredi Litvak yeshivah, versus the rabbis from the court of any given Hasidic Rebbe, would be staggeringly different in many key ways, although all would share certain characteristic interpretations of halachah that we could probably recognizably name as "Orthodox."
But the Reform Movement does have a series of such statements that it has composed at various evolutionary points in its history. They are generally referred to as "platforms." The latest one, I think, was the 1999 Pittsburgh Platform (not to be confused with the important 1885 Pittsburgh Platform, a very different evolution of Reform Judaism). The 1999 Platform can be found
here.