Display Screen or Portion Thereof with Animated Graphical User Interface

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; FIG. 2 is a second image thereof; FIG. 3 is a third image thereof; FIG. 4 is a fourth image thereof; FIG. 5 is a fifth image thereof; FIG. 6 is a sixth image thereof; FIG. 7 is a seventh image thereof; FIG. 8 is an eighth image thereof; FIG. 9 is a nineth image thereof; and, FIG. 10 is a tenth image thereof. In the figures, the grayscale shading represents a contrast in appearance and is not limited to a specific color. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 through 10 . The process or period in which one image transitions to another image forms no part of the claimed design. The grayscale-shaded areas surrounded by broken lines form part of the claimed design. The outermost broken lines in the figures show a display screen or portion thereof, and form no part of the claimed design. The other broken lines in the figures show portions of the animated graphical user interface that form no part of the claimed design.