Is Garden State a drama? Is Truman Show? Is Big Fish? I'm skeptical about the definition. Dark Knight is more of a drama than any of those, I'd say, regardless of action sequences (although I understand why you left it out, given your caveat). Just because a movie isn't straight comedy doesn't make it drama.
Some of my favorite dramas:
First Contact
Generations
The Wrath of Khan
Insurrection
The One With the Whales
Nemesis