Kenneth F. Musgrave came up with an algorithm to create procedural patterns suitable for creating procedural terrain. His results actually exceed this purpose and can produce some very interesting patterns. His methods are implemented in Cycles but they are largely overlooked.
The Animation Nodes addon for Blender comes with several nodes to accomplish a wiggle effect. This tutorial explains in-depth all the options and internals.
Last year's fluid particle demo has been meshed using the cubesurfer addon. Check out the results and how the version with surface compares to the one with just the particles and as final bonus a version that shows both.
Ink drops in water are heavily used elements in graphic and motion design. You can create them right inside Blender. And thanks to the Cycles render engine you can create the traditional and more modern variants with ease.
The Animation Nodes addon for Blender allows you to animate individual letters of a word. This tutorial shows you how by adding a little bit of random movement to each letter using the wiggle node.
For modern presentation it is often helpful to underline important points with an animation. In this tutorial you will learn how to stack objects and animate the result. It is like an array modifier with random offset.