Display Screen or Portion Thereof with Animated Graphical User Interface

The patent or application file contains one or more drawings executed in color. Copies of this patent or patent application publication with color drawings 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 a first embodiment of my new design; FIG. 2 is a second image thereof; FIG. 3 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a second embodiment of my new design; FIG. 4 is a second image thereof; FIG. 5 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a third embodiment of my new design; FIG. 6 is a second image thereof; FIG. 7 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a fourth embodiment of my new design; FIG. 8 is a second image thereof; FIG. 9 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a fifth embodiment of my new design; FIG. 10 is a second image thereof; FIG. 11 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a sixth embodiment of my new design; FIG. 12 is a second image thereof; FIG. 13 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a seventh embodiment of my new design; FIG. 14 is a second image thereof; FIG. 15 is a front view of a display screen or portion thereof with animated graphical user interface, showing a first image of a eighth embodiment of my new design; and, FIG. 16 is a second image thereof. In FIGS. 9 - 16 , the grayscale shading represents a contrast in appearance. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 through 2 , FIGS. 3 through 4 , FIGS. 5 through 6 , FIGS. 7 through 8 , FIGS. 9 through 10 , FIGS. 11 through 12 , FIGS. 13 through 14 , and FIGS. 15 through 16 , respectively. The process or period in which one image transitions to another image forms no 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.