The ornamental design for a displayscreen with animateduser interface, as shown and described.
FIG. 1 is the first image in a sequence for a display screen with animated user interface showing the 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;
FIG. 6 is the sixth image thereof;
FIG. 7 is the seventh image thereof;
FIG. 8 is the eighth image thereof;
FIG. 9 is the ninth image thereof;
FIG. 10 is the tenth image thereof;
FIG. 11 is the eleventh image thereof;
FIG. 12 is the twelfth image thereof;
FIG. 13 is the thirteenth image thereof.
FIG. 14 is the fourteenth image thereof; and,
FIG. 15 is the fifteenth image thereof.
The appearance of the animated user interface sequentially transitions between images shown in FIGS. 1-15. The process or period in which one image transitions to another image forms no part of the claimed design. The broken line showing of the remainder of the display screen is for environmental purposes only and forms no part of the claimed design.