Display screen or portion thereof with animated graphical user interface

FIG. 1 is a front view of a first image in a sequence for a display screen or portion thereof with animated graphical user interface showing my 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 fifth image thereof;

FIG. 6 is a sixth image thereof;

FIG. 7 is a seventh image thereof; and,

FIG. 8 is an eighth image thereof.

The appearance of the animated graphical user interface transitions sequentially between the images shown in FIGS. 1-8 . The process or period in which one image transitions to another forms no part of the claimed design. The dot-dash broken lines showing a display screen or portion thereof and elements of the graphical user interface, as well as the regular broken lines showing elements of the graphical user interface illustrate portions of the article. No subject matter shown in broken lines form part of the claimed design.