A Few Good (Silent) Men
Remember the climactic court scene from A Few Good Men when Jack Nicholson yells, "You can't handle the truth!" Well, in the tradition of online film experiments, Ian Edgar has removed the dialogue from that scene, writing on YouTube, "You want the dialogue? You can't handle the dialogue." He has left in some foley sound effects and a touch of music at the beginning, just so it's not deadly boring.
Now here's an interesting fact: I haven't seen this movie (or if I have, I don't remember it), though I have seen Nicholson's "You can't handle the truth" line in endless clip montages. Yet, just from watching this scene, I can pick up a whole lot about what's going on in this apparent military court case, who the defendants are, what the relative attitudes are of the prosecution and defense, and what happens when Nicholson's character shows up. (Note Tom Cruise's shaky hand while he drinks.) It's amazing what you can do without using words. Take three and a half minutes and see if you can follow this scene with no dialogue:
If you found that interesting, you must watch Steven Soderbergh's Raiders of the Lost Ark, in which he removes dialogue and color from the film, to focus on the staging of each scene. (Soderbergh did add back a soundtrack, though.)