iOS: Cycloramic is an iPhone app that automatically rotates your iPhone 5 to make a 360-degree video without you having to touch the phone at all.
Cycloramic rotates by using the iPhone's vibration and sensors. Simply stand your phone on a slick surface like glass or marble, tap "Go" and watch your iPhone rotate 360 degrees while recording video. Cycloramic only works with the iPhone 5 (and a very slick countertop), but we had luck getting a half rotation with a 4S on a sheet of glass. You'll have to play around with different surfaces to really get Cycloramic to work. Once you do you'll have a simple and fun way to create a 360-degree video.
Cycloramic ($0.99) [iTunes]