Based solely on other Academy Award winning movies from the past 20 years, I would have to pick these over Unforgiven. If I thought about it I could come up with more, but in the end all this ends up being is just lists of personal preferences. No real criteria have been given beyond that except the period of time.
L.A. Confidential
Schindler's List
The Silence of the Lambs
Dangerous Liaisons
Crimes and Misdemeanors
The Shawshank Redemption
Saving Private Ryan
Cyrano de Bergerac
Pulp Fiction