Display screen or portion thereof with animated graphical user interface

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

FIG. 2 is a second image thereof;

FIG. 3 is a third image thereof;

FIG. 4 is a fourth image thereof;

FIG. 5 is a front view of another embodiment of a display screen or portion thereof with animated graphical user interface showing a first image in the sequence showing our new design;

FIG. 6 is a second image thereof;

FIG. 7 is a third image thereof; and,

FIG. 8 is a fourth image thereof.

The outermost broken lines in FIGS. 1-8 show a display screen or portion thereof and form no part of the claimed design. The text in FIGS. 1-8 is in broken lines and forms no part of the claimed design.