Display Screen or Portion Thereof with Animated Graphical User Interface

The file of this patent contains at least one drawing/photograph executed in color. Copies of this patent with color drawing(s)/photograph(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 our new design; and, FIG. 2 is a second image thereof. The peripheral dashed broken lines depict a display screen or portion thereof, and form no part of the claimed design. The dashed broken lines and the faded portions therein show portions of the graphical user interface and form no part of the claimed design. 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.