Some similarities I'm looking for:
-Great movie twists
-VERY deep story with complicated characters
-Keeps you guessing and wondering what really happened or what's really going to happen
Those or other similarities.
Films this reminded me of are 'Prisoners' and 'Mystic River' - very similar atmospheres
shareNo, watch Wild tales (relatos salvajes). It's an Argentinian movie from last year. It's a great movie and non american one for a change. It's on Top 250 here if you wanna check it out or Samba (a French one).
shareEnemy Mine.
Hostel Part 2.
The Three Amigos.
Bridge on the River Kwai.
Carry on Camping.
Salo.
Transformers: Dark of the Moon.
What Lies Beneath
Presumed Innocent
Fatal Attraction
Other Fincher films:
The Game
Zodiac
Fight Club
Side Effects!
(Don't you forget that...!) - Charlie New
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Primal Fear and Jagged Edge might be worth looking into based on your criteria.
"It's a real burden being right so often." Captain Malcolm Reynolds, Firefly