Display screen or portion thereof with animated graphical user interface

FIG. 1 is display screen or portion thereof with an animated graphical user interface showing our new design showing the first image in a sequence of images included in the animated graphical user interface showing our new design;

FIG. 2 shows the second image thereof;

FIG. 3 shows the third image thereof;

FIG. 4 shows the fourth image thereof;

FIG. 5 shows the fifth image thereof;

FIG. 6 shows the sixth image thereof;

FIG. 7 shows the seventh image thereof; and,

FIG. 8 shows the eighth image thereof.

The appearance of the animated graphical user interface sequentially transitions between the images shown in FIGS. 1 to 8 . The process or period in which one image transitions to another forms no part of the claimed design. In the drawings, the broken lines are for the purpose of illustrating portions of the display screen or portion thereof with animated graphical user interface and forms no part of the claimed design.