iOS: iPhone users don't have a native equivalent of Android's photosphere feature, but free app Bubbli changes that. Bubbli creates 360-degree photographs, complete with sound — or "bubbles", as the app likes to call them.
The app is really easy to use. Start it up and you have to "paint" a sphere all around you, by standing in one place and moving your camera to cover all the white spaces with what the camera sees. When you're done, you can choose to share this bubble with friends on Bubbli or your Facebook friends. Make sure you are "painting" with a steady hand, or the stitching will go haywire.
When you are viewing a bubble on your iOS device, you have to again stand in one place and move the device around to see what the original photographer could see.
Bubbli is a better, cooler option than taking a plain photo, especially with the audio it adds. For some reason, it plays on mute by default, so don't forget to hit that volume icon to hear the sound.
Bubbli (Free) [iTunes App Store]