Is it possible to animate textures? How can I animate a texture?

I don't want to animate an object with a texture on it, but instead, animate the texture itself and have the UV move. If the UV moves, the texture will change live. This is what I am going for.
Almost any value in blender can be animated. Most of the values that can't be animated are global to the scene like render resolution that make no sense to animate.

With the cursor over a value press I to add a keyframe or right click  RMB and choose Insert Keyframe, even values in the node editor and colours can be animated.