Display screen with animated graphical user interface

[0001]FIG. 1 is a front view of a first image in a sequence for a display screen with animated graphical user interface showing our new design;

[0002]FIG. 2 is a second image thereof; and,

[0003]FIG. 3 is a third image thereof.

[0004]The peripheral dash-dot-dash lines illustrate a display screen or portion thereof and forms no part of the claimed design. The remaining broken lines within the peripheral dash-dot-dash lines illustrate portions of the animated graphical user interface which form no part of the claimed design. The grayscale shading in FIGS. 2-3 represents a contrast in appearance. The appearance of the animated graphical user interface sequentially transitions between the images shown in FIGS. 1-3. The process or period in which one image transitions to another forms no part of the claimed design.