Display Screen or Portion Thereof with Animated Graphical User Interface

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

FIG. 2 is the second image thereof; and,

FIG. 3 is the third image thereof.

The appearance of the transitional graphical user interface transitions between FIGS. 1 - 3 . The process or period in which one image transitions to another forms no part of the claimed design. The broken lines depicting the text, symbols, display screen, and remainder of the graphical user interface form no part of the claimed design.