Display screen or portion thereof with animated graphical user interface

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

FIG. 2 is the second image thereof;

FIG. 3 is the third image thereof; and,

FIG. 4 is the fourth image thereof.

The appearance of the animated graphical user interface sequentially transitions between the images shown in FIGS. 1-4 . The process or period in which one image transitions to another forms no part of the claimed design. The broken lines are for illustrative purpose only and form no part of the claimed design. The dot-dash broken lines define boundaries of the claimed design and form no part thereof.