A few of my faves that haven't yet been mentioned...
Chinatown
High and Low
The Maltese Falcon
Sweet Smell of Success
The Third Man L.A. Confidential is a decent modern noir, too.
I really want to get into watching more noir, as it's fast becoming a favourite sub-genre of mine.
There are a few mentioned here that I haven't seen, that I'm definitely going to seek out.