Display screen or portion thereof with animated graphical user interface

This application is a divisional application of U.S. Design patent application Ser. No. 29/530,279 filed Jun. 15, 2015, the disclosure of which is incorporated herein in its entirety by reference thereto.

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

FIG. 2 is a front view of a second image thereof; and,

FIG. 3 is a front view of a third image thereof.

The outermost broken line perimeter illustrates a display screen or portion thereof. The remaining broken lines illustrate portions of a graphical user interface. The broken lines form no part of the claimed design.

The appearance of the animated user interface sequentially transitions between images shown in FIGS. 1-3 . The process of period in which one image transitions to another image forms no part of the claimed design.