Display Screen or Portion Thereof with Animated Graphical User Interface

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