Display screen or portion thereof with animated graphical user interface

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

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

[0003]The outermost dashed-dotted broken line in each of FIGS. 1 and 2 depict a boundary line of a display screen or portion thereof, and forms no part of the claimed design.

[0004]The dashed broken lines in FIGS. 1 and 2 depict text, icons, or the remainder of the graphical user interface, and form no part of the claimed design. The appearance of the design sequentially transitions between the images shown in FIG. 1 and FIG. 2. The process or period in which one image transitions to another image forms no part of the claimed design.