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 of my new design;

FIG. 2 is a second image thereof; and,

FIG. 3 is a third image thereof.

The appearance of the graphical user interface sequentially transitions between the images shown in FIGS. 1, 2, and 3 . The process or period in which one image transitions to another forms no part of the claimed design. The outermost broken line depicts the display screen or portion thereof and forms no part of the claimed design. The remainder of the broken lines depict text, icons, and portions of the graphical user interface that form no part of the claimed design.