FIG. 1 is the first image in a sequence for a display screen with animated user interface showing my new design;

FIG. 2 is the second image thereof;

FIG. 3 is the third image thereof;

FIG. 4 is the fourth image thereof;

FIG. 5 is the fifth image thereof; and,

FIGS. 6-10 show the display screen with animated user interface of FIGS. 1-5 on a device.

The appearance of the animated user interface sequentially transitions between the images shown in FIGS. 1-5 and in FIGS. 6-10. The process or period in which one image transitions to another forms no part of the claimed design. The broken line showing of the alphanumeric characters and the remainder of the display screen in FIGS. 1-10, and the device containing the display screen in FIGS. 6-10 illustrates unclaimed environment and forms no part of the claimed design.