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 a first image of the claimed design; FIG. 2 is a second image thereof; FIG. 3 is a front view of another embodiment of a display screen or portion thereof with animated graphical user interface showing a first image of the claimed design; and, FIG. 4 is a second image thereof. The broken lines in the figures show a display screen or portion thereof, and form no part of the claimed design. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 - 2 and 3 - 4 . The process or period in which one image transitions to another forms no part of the claimed design.