Display Screen or Portion Thereof with Animated Graphical User Interface

FIG. 1 is a front view of a first image in a sequence for 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 appearance of the animated graphical user interface sequentially 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. The dot-dash broken line illustrates a display screen or portion thereof and forms no part of the claimed design.