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 my new design; FIG. 2 is a front view of a second image thereof; and, FIG. 3 is a front view of a third image thereof. The broken lines around the figure show a display screen or portion thereof and form no part of the claimed design. The appearance of the transitional image sequentially transitions between the images shown in FIG. 1 - 3 . The process or period in which one image transitions to another image forms no part of the claimed design.