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 the claimed design; FIG. 2 is a second image thereof; FIG. 3 is a third image thereof; and, FIG. 4 is a fourth image thereof. The outermost dashed broken lines in the figures show a display screen or portion thereof and form no part of the claimed design, but are shown for environment and background. The other dashed broken lines in the figures show portions of the animated graphical user interface that form no part of the claimed design. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 - 4 , 5 - 8 , and 9 - 12 . The process or period in which one image transitions to another forms no part of the claimed design.