Another of my favorite martial arts movie from Hong Kong is Swordman, starring Sam Hui. Okay, the sequel with Jet Li and Bridget Lin is still watchable although this one is a darker movie. I like the first one so much better while the subsequent sequels after the second movie are complete rubbish. The theme song is also a good one, although the scenes in the montage below are from the sequel. It may be worth noting that the woman in the scenes below with the hero is actually a man who begins gaining the physical attributes of a woman on the account of the forbidden martial arts that (s)he has mastered. This fellow makes a pretty interesting and often tragic villain in this and the subsequent unfortunately unwatchable sequels.
The late Leslie Cheung and Bridget Lin also starred in the martial arts Romeo and Juliet period movie The Bride With White Hair, where Juliet eventually succumbs to the dark side and starts killing everybody, heh. I'm not too fond of this one and the sequel (which you must watch as the second movie is a genuine sequel - the first movie has no conclusion, only a "To Be Continued" thing) because of the pedestrian storyline and cheesy melodrama meant to signify pathos, but the theme song is lovely.