YouTube user StopLooking has uploaded a video that demonstrates how to make a GIF animated wallpaper for iPhone or iPod touch using a newer jailbreak tweak called AnimateAll. The process involves using a tool to access the iOS filesystem such as iExplorer or iFunBox, uploading the wallpapers and applying them with AnimateAll.
iOS 7 was introduced last September with support for parallax wallpapers, although Apple only includes a limited number of those on stock devices. If you give AnimateAll a spin, let us know how it works for you in the comments down under. Any good wallpaper recommendations?