Display screen with animated graphical user interface

1 FIG. is a front view of a display screen with animated graphical user interface showing a first image of our new design; 2 FIG. is a second image thereof; and, 3 FIG. is a third image thereof. 1 3 FIGS.- The appearance of the animated graphical user interface sequentially transitions between the images shown in. The process or period in which an image transitions to another forms no part of the claimed design. The peripheral dash-dot-dot-dash lines illustrate a display screen or portion thereof and form no part of the claimed design. The dot-dot broken lines within the peripheral dash-dot-dot-dash lines illustrate portions of the graphical user interface which form no part of the claimed design.