this one is difficult,
"drama" is such a wide genre.
There are tons of films that spring to mind, but when you say drama the first director I can think of is Darren Aronofsky.
I love his films and the fact that clint mansell is his regular sound track composer just makes it even better.
His most recent film "black swan" just blew my mind in cinema .
I went to see it twice already and I can't wait for the dvd release.
in this video we see Natalie Portman dancing the part of the black swan, one of the strongest scenes of the film IMO.