Display Screen or Portion Thereof with Animated Graphical User Interface

FIG. 1 is a front view of a display screen or portion thereof with graphical user interface, showing a first image of our new design; and, FIG. 2 is a second image thereof. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 through 2 . The process or period in which one image transitions to another image forms no part of the claimed design. In the figures, the grayscale shading represents a contrasting appearance and forms part of the claim. The outermost broken lines in the figures show a display screen or portion thereof, and form no part of the claimed design. The other broken lines in the figures show portions of the animated graphical user interface that form no part of the claimed design.