Web video producers are forgetting something. Sequencing their shots.
When shooting video you should think about capturing everything as a sequence. This means you take wide-shots, medium-shots and close-ups of whatever is happening. Use a wide variety of angles. Change the elevation of your camera so the view is not just eye-level but high, medium and low. Then, when it comes time to edit your story, you can assemble a compelling story.
Here is a quick and fun lesson on sequencing your videos.