No Country For Old Men, or The Place Beyond the Pines, or Pulp Fiction
Also going to have to shout out Under the Skin and Annihilation.
Some seriously solid taste in films there, and I don't think I have ever heard someone mention Under the Skin before. I really liked it and thought I was the only one.
I can't pick just one either so here's a small handful from a larger list I keep adding to (keep a rolling list on your phone or google docs of movies you like and each time you start dating a new girl, you'll have a huge list of awesome films you can show her and get to enjoy re-watching - and of course, know your audience and pick one that you think you'll both like)
American Honey
Ex Machina
The Killing of a Sacred Deer
There Will be Blood, Gangs of New York, or any Daniel Day Lewis film - haven't seen a bad one yet
Rushmore
Happiness (1998)
The first season of True Detective
Nymphomaniac (Vol I and II)
All of Kubrick's films, though my favorite is Barry Lyndon
The Big Lebowski
All the spaghetti westerns like The Good, The Bad, and The Ugly, Fist Full of dollars, etc
High Planes Drifter
The Right Stuff
Election
Burn After Reading
Go!
The Hurt Locker
Mandy
Some dumb comedies that aren't "good" but I laugh my ass off every time I watch them:
Wanderlust
Fired Up
Sex Drive
Porky's
The Dog Problem
Tucker and Dale vs Evil
This is the End
Your Highness
Vacation (2015)