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 in a sequence; FIG. 2 is a second image thereof; FIG. 3 is a third image thereof; FIG. 4 is a fourth image thereof; and, FIG. 5 is a fifth image thereof. The outer broken line in the figures show a display screen or portion thereof, and forms no part of the claimed design. The other broken lines in the figures show portions of the graphical user interface and the animated graphical user interface that form no part of the claimed design. The appearance of the animated graphical user interfaces sequentially transitions between the images shown in FIGS. 1 - 5 , respectively. The process or period in which one image transitions to another image forms no part of the claimed design.