I did some video recording on Saturday, and finally got a few clips edited and uploaded to share. The first is an application for the one-legged turn (a jump, in some styles) in Kusanku/Kanku. The technique is a throw found in Okinawa Shima (a grappling sport in Okinawa that descended from tegumi) and Sambo. This video simply shows the throw in isolation, without setups or distracting strikes, and I set my partner down lightly to avoid injury, so the landing doesn't match the kata like it would if I slammed him.
The second video is for the kata Wansu/Enpi, where you sink into a horse stance and execute a low block, then shift into a front stance and punch. In the version I learned, the punch is done as a keiko-ken-tsuki (Phoenix eye fist punch), and I carried that over into this application. I demonstrate it as a defense against a shirt grab with a punch to the head, although it can be done from the grab before a punch is thrown, and if you sink into the arm enough you can actually turn them enough to prevent the punch. It's hard to see in the video, but I aim my keiko-ken-tsuki for the brachial plexus or vagus nerve, depending on what is available to me.
The last video isn't a kata application, exactly--it is a quick explanation of a "side-step" uchi-mata (inner thigh throw) performed in conjunction with a shoulder lock (which can be found in Naihanchi kata).