1964 Hong Kong film Golden Eagle. As I am a native of Inner Mongolia, I suggest you don't watch it, because besides imitating Mongols in clothes. Adopt indoor false background. Music, language style and figure are nothing like Mongols. You might as well watch Sad Stream and Genghis Khan. That's the real Mongolian style.
But a few years ago, China made an animated film, which seems to be called Canglang Bailuyuan. That story is the same as what you said. You'd better watch cartoons.