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I'm not sure if you want to animate a series of Plots or combine a series of Plots into one Graphic. I believe that in order to animate a series of Graphics that mma requires the individual Graphics, i.e., an animation of Graphics combined with Show isn't possible since it is only a single Graphic. I am assuming that you are using a 'notebook' interface. If you have a series of Graphics that are grouped together in a cell then a menu command for animate will do just that with your Graphics. If you want to Plot a series of Graphics in a single Graphic, the Show command does just this with a series of Graphics.