Display Screen or Portion Thereof with Animated Graphical User Interface

FIG. 1 shows a first image of a display screen or portion thereof with animated graphical user interface showing our new design;

FIG. 2 shows a second image thereof; and,

FIG. 3 shows a third image thereof.

The peripheral dashed broken lines illustrate a display screen or portion thereof which forms no part of the claimed design.

The dashed broken lines within the peripheral dashed broken lines represent text or features 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 may form no part of the claimed design.