Display screen or portion thereof with animated graphical user interface

<figref idref="DRAWINGS">FIG. 1</figref> shows a first image of a display screen or portion thereof with animated graphical user interface showing our new design;

<figref idref="DRAWINGS">FIG. 2</figref> shows a second image thereof; and,

<figref idref="DRAWINGS">FIG. 3</figref> shows a third image thereof.

The peripheral dashed broken lines illustrate a display screen or portion thereof and form no part of the claimed design.

Shading illustrates contrast, not any particular color.

The appearance of the animated graphical user interface sequentially transitions between the images shown in <figref idref="DRAWINGS">FIGS. 1-3</figref>. The process or period in which one image transitions to another forms no part of the claimed design.