Display Screen or Portion Thereof with Animated Graphical User Interface

The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee. FIG. 1 is a front view of a display screen or portion thereof with animated graphical user interface showing a first image of our new design; and, FIG. 2 is a second image thereof. The appearance of the animated graphical user interface sequentially transitions between the images shown in FIGS. 1 - 2 . The process or period in which one image transitions to another image forms no part of the claimed design. The outermost broken lines show a display screen or portion thereof and form no part of the claimed design. The remaining broken lines show portions of the animated graphical user interface and form no part of the claimed design. The color shown in the figure illustrates a contrast in appearance.