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 peripheral dash-dot-dash lines illustrate a display screen or portion thereof and forms no part of the claimed design. The remaining broken lines within the peripheral dash-dot-dash lines illustrate portions of the graphical user interface which form no part of the claimed design. 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.