Display Screen or Portion Thereof with Animated Graphical User Interface

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

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

FIG. 3 is a front view of a third image thereof; and,

FIG. 4 is a front view of a 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 an image transitions to another forms no part of the claimed design. The broken lines illustrate a portion of a display screen, as well as unclaimed portions of the animated graphical user interface; the broken lines form no part of the claimed design.