Display screen or portion thereof with animated graphical user interface

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

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

[0003]FIG. 3 is a front view of a first image of a display screen or portion thereof with animated graphical user interface showing a second embodiment of the new design; and,

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

[0005]The appearance of the transitional image sequentially transitions between the images shown in FIGS. 1-2 and 3-4, respectively. The process or period in which one image transitions to another forms no part of the claimed design.

[0006]The outmost dot-dashed lines in the figures show a display screen or portion thereof and form no part of the claimed design. The remaining broken lines form no part of the claimed design.