Actually, this is my 10th pick, not my 9th:
The Last of the Mohicans, Michael Mann, 1992
Michael Mann is (and I apologize) THE MAN. This guy's films are always exciting, always original, and always worth watching.
The Last of the Mohicans is so unabashedly beautiful and romantic, that I'm a sucker for it. Daniel Day-Lewis and Madeleine Stowe...wow...can't tell you how often I've had a fantasy about that woman.
Obviously, the story is an American classic, as I'm sure we all had to read it in the sixth grade. It really is good, though. Heartbreaking. The best stories don't have obvious villains, and this one doesn't. Everyone has their reasons, as three different cultures clash together in what will only be an inevitable tragedy.
I love the last 20 minutes of this film. How Major Duncan Heyward, up to now a bastard, sacrifices himself for the woman he loves and her lover. And how that's mirrored in Magua's sudden compassion for the "English girl" who would rather die than be held captive by him.
Just watch this sequence - the battle up the mountain, Alice's death, Magua and Unga's battle and ultimate deaths...stunning. And the actress who plays Alice - Jodhi May - gives an uncanny performance in this film that is mostly silent. Everything she needs to say she says with her amazingly expressive eyes.
Stunning North Carolina scenery, epic battles, teriffic acting. Great film.
*****
My picks:
Trois Coleurs Trilogy
Reservoir Dogs
The Piano
The Player
Heavenly Creatures
Hard Boiled
The Limey
The Grifters
La Reine Margot
The Last of the Mohicans