When Animating using cycles, the noise always looks like it is stuck to the screen, is it possible to change the render seed for each frame?
New Versions of Blender
As of 2.75, this is as simple as checking the little clock icon in the seed input field.
Previous Versions of Blender
You can animate and add drivers to the seed field in the Sampling panel in the render buttons the same way you can with most of the fields in Blender. Simply clicking on the field and writing
#frame will create a driver that uses the current frame number as the value for the field. This generates a different noise pattern for each frame.
You can press I hovering on seed on the start frame, add a keyframe, go to last frame, change the seed to some pretty high number, and add another keyframe. This will also achieve the result. The previous one is still nicer.