Display screen or portion thereof with animated graphical user interface

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

FIG. 2 is a front view of a second image thereof.

FIG. 3 is a front view of a third image thereof.

FIG. 4 is a front view of a fourth image thereof.

FIG. 5 is a front view of a fifth image thereof.

FIG. 6 is a front view of a sixth image thereof; and,

FIG. 7 is a front view of a seventh image thereof.

The broken line showing of a display screen with graphical user interface is included for the purpose of showing portions of the article which form no part of the claim. The appearance of the animated image transitions between the images shown in FIGS. 1-7 . The process or period in which one image transitions to another image forms no part of the claimed design.