Try the Tunisian hip twist. The front-to-back hip twist is the basic folkloric step of Tunisian dance. Stand on the balls of the feet, and bring one hip bone to the front, as the other goes back. Keep the shoulders and chest still as the hips move. You can do this move with feet flat on the floor, but you can get a bigger range of motion with your hips if elevated on your toes. You can also travel more easily and with more grace. Tunisian dancers add an impressive flair to this move by balancing a pot on the head as the hips shake.
The hagallah is a traditional wedding dance originating in Western Egypt and Eastern Libya. The hagallah rhythm is a 1-2-3 time, similar to a quick waltz. The hips swing from side to side like a pendulum with each step. The hips then do a rapid two-count shimmy at the end of each swing to the side. Step forward or in place with each swing and bend the knee slightly with each shimmy. You can travel or stay in place, move forwards or backwards, or intersperse this move among other dance steps.
Take a break in your dance routine from moving and stand still for the hip-drop kick. Stand with your upper body facing front, and the hips facing to the right side. Bend the left knee, pointing the left foot. Lift and drop the hip twice, slightly lifting the foot on the second hip drop. Repeat as the rhythm of the music allows, and execute on the other side.