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;

FIG. 2 is a second image thereof;

FIG. 3 is a third image thereof;

FIG. 4 is a fourth image thereof; and,

FIG. 5 is a fifth image thereof.

The outermost dashed broken lines in the figures show a display screen or portion thereof, and form no part of the claimed design. The dot-dash broken lines in the figures show environment that forms no part of the claimed design.

The appearance of the animated image sequentially transitions between the images shown in FIGS. 1 - 5 . The process or period in which one image transitions to another forms no part of the claimed design.