Display Screen or Portion Thereof with Animated Graphical User Interface Having a Three Dimensional Appearance

FIG. 1 is a front view of a display screen or portion thereof with animated graphical user interface having a three-dimensional appearance showing a first image of the claimed design; and, FIG. 2 is a second image thereof. The outermost peripheral dashed broken lines in the figures show a display screen or portion thereof, and form no part of the claimed design. The other dashed broken lines in the figures show portions of the animated graphical user interface having a three dimensional appearance that form no part of the claimed design. The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 and 2 . The process or period in which one image transitions to another forms no part of the claimed design.