Display Screen with Animated Graphical User Interface

FIG. 1 is a front view of a display screen with animated graphical user interface showing a first image of our new design; and, FIG. 2 is a front view of a second image thereof. The appearance of an image sequentially transitions to another between FIG. 1 and FIG. 2 . The process or period in which an image transitions to another forms no part of the claimed design. The outer perimeter evenly-spaced broken lines depict the display screen and form no part of the claimed design. The remaining evenly-spaced broken lines depict portions of the graphical user interface that form no part of the claimed design. The single dot-dash broken lines define the boundary of the claimed design and form no part of the claimed design.