Spoony
The People's President
You could try something like Infernal Affairs; a foreign movie that's very accessible, in terms of familiarity of the basic plot and key characteristics, or essentially a movie that appeals to the masses of English speaking viewers in terms of storyline. Which is why it was re-made and adored by the mainstream audiences.
Or you could go the completely opposite direction, and try something like In the Mood for Love in which the essence is strongly based on the atmosphere it creates, in the absorbing visual (and audio? I can't think of the word...) beauty, and thus somewhat lessens the importance of the dialogue.
You should have a go at this.