Hardly a deep cut, but Crouching Tiger Hidden Dragon is absolutely fantastic.
A master of mystical superhuman martial arts is trying to retire, but a suspiciously talented thief keeps making off with his unbreakable sword. The movie is sold on and remembered for its acrobatic and set-destroying fight scenes, and if you just watched those highlights, you’d have a decent time. But you’d miss the clever characterization, the gorgeous cinematography, the excellent score, and on and on and on. If you just want wire-fu then watch Iron Monkey. This is a movie about all the small moments between complex people. It opens with ten minutes of dialog on purpose. The combat is what happens when characters fail.