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 our new design; FIG. 2 is a second image thereof; and, FIG. 3 is a third image thereof. The peripheral dashed broken lines depict a display screen or portion thereof, and form no part of the claimed design. The dot-dash broken lines depict boundaries which form no part of the claimed design. The faded portions between the peripheral dashed broken lines and interior dot-dash broken line boundaries form no part of the claimed design. The appearance of the graphical user interface transitions between the images shown in FIGS. 1 - 3 . The process or period in which one image transitions to another forms no part of the claimed design.