I love the advisory at the end of the video that "Shoes sold at retail will NOT make music when bent or twisted".
Nike Free is an amazingly comfortable technology used in some Nike Running soles that allows for complete movement in all directions of the foot (as you saw in the video). In being far more flexible, Free technology is meant to train your foot to move more like you are running barefoot. Barefoot running is the most efficient way we can run (not a coincidence that runners from places like Kenya win marathons) but the average foot is so used to having sneakers protect it that if we just started running barefoot we would tear muscles and really mess up our feet. Nike Free is the solution to this. Work your way from a 7.0 to a 3.0 and you'll be barefoot in no time.
Nike+ (plus) is a technology for runners to connect their shoes to their iPod/ iPhone or a wristband to track their running stats. You just upload your info to a computer after a run and you can see times, distances, and calories, as well as a progress report and people to challenge in Nike+ communities. Basically "the worlds biggest run club". Pretty cool stuff.
Together these technologies basically create the ideal and most advanced run shoe out.
PREVIOUSLY: The Secret Behind Nike Air