Display Screen with Animated Graphical User Interface of a Gaming Machine

FIG. 1 is the first image in a sequence for a display screen with animated graphical user interface of a gaming machine showing our new design; FIG. 2 is a second image thereof; FIG. 3 is a third image thereof; FIG. 4 is a fourth image thereof; and, FIG. 5 is a fifth image thereof. The appearance of the graphical user interface sequentially transitions between the images shown in FIGS. 1 - 5 . The process or period in which one image transitions to another forms no part of the claimed design. The peripheral broken line represents a boundary of the display screen with graphical user interface and forms no part of the claimed design. The broken lines depicting the remainder of the display screen with animated graphical user interface of a gaming machine form no part of the claimed design.