Display screen or portion thereof with animated graphical user interface

[0001]FIG. 1 is a front view of a display screen or portion thereof with an animated graphical user interface showing a first image in a sequence showing my new design;

[0002]FIG. 2 is a second image thereof;

[0003]FIG. 3 is a third image thereof; and,

[0004]FIG. 4 is a fourth image thereof.

[0005]The outermost dash-dot broken lines in the drawings illustrate the display screen or portion thereof and form no part of the claimed design.

[0006]The appearance of the animated graphical user interface sequentially transitions between the images shown in FIGS. 1-4. The process or period in which one image transitions to another forms no part of the claimed design.