Display Screen or Portion Thereof with Animated Graphical User Interface

FIG. 1 is a first image in a first sequence shown on the animated graphical user interface; FIG. 2 is a second image in the first sequence shown thereon; FIG. 3 is a third image in the first sequence shown thereon; FIG. 4 is a first image in a second sequence shown thereon; FIG. 5 is a second image in the second sequence shown thereon; FIG. 6 is a third image in the second sequence shown thereon; FIG. 7 is a first image in a third sequence shown thereon; FIG. 8 is a second image in the third sequence shown thereon; and, FIG. 9 is a third image in the third sequence shown thereon. The broken lines showing a display screen or portion thereof and portions of the graphical user interface form no part of the claimed design. The appearance of the transitional image sequentially transitions between the images shown thereon. The process or period in which one image transitions to another image forms no part of the claimed design.