Display Screen with Animated Graphical User Interface

FIG. 1 is a front view of a first image in a sequence for a display screen with animated graphical user interface showing my new design; FIG. 2 is a second image thereof; FIG. 3 is a third image thereof; and, FIG. 4 is a fourth image thereof. The peripheral dash-dot-dash lines illustrate a display screen or portion thereof and form 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.