That's one hell of a triple feature. Those last two films, I completely agree are underrated. Black Rain looks like sex on Blu Ray.
The Sorcerer & The White Snake
This film is pretty terrible all around. I usually love these wuxia/wushu/wu xing/wu whatever epics because, even though they can be fairly interchangeable, they have well written stories, and they're all shot in a grand sweeping David Lean style, which showcases beautiful Chinese country side, with great action choreography that's elaborate and shot beautifully. This is The Asylum's take on one of those films. I'm not kidding. It's cheap, shot on a green screen with PS1 level CGI work and an utterly incoherent mess of a storyline. Jet Li was clearly only on set for two days, if that, disappearing and reappearing during any scene that involves him (Of which there isn't many). I guess it didn't help this fantasy film, that I'd seen the complete season of Game of Thrones a couple of days ago, but nonetheless it's from the director of Hero, he's clearly capable of better than this. Also, this was hampered by the lack of Whitesnake on the soundtrack.