FIG. 1 is a front view of a first image of a first embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 2 is a front view of a second image thereof;
FIG. 3 is a front view of a third image thereof;
FIG. 4 is a front view of a fourth image thereof;
FIG. 5 is a front view of a fifth image thereof;
FIG. 6 is a front view of a first image of a second embodiment of an portion of a display screen with animated graphical user interface showing our new design
FIG. 7 is a front view of a second image thereof;
FIG. 8 is a front view of an third image thereof;
FIG. 9 is a front view of a fourth image thereof;
FIG. 10 is a front view of an fifth image thereof
FIG. 11 is a front view of a first image of a third embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 12 is a front view of a second image thereof;
FIG. 13 is a front view of a third image thereof;
FIG. 14 is a fourth image thereof;
FIG. 15 is a fifth image thereof;
FIG. 16 is a front view of a first image of a fourth embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 17 is a front view of a second image thereof;
FIG. 18 is a front view of a third image thereof;
FIG. 19 is a front view of a fourth image thereof;
FIG. 20 is a front view of a fifth image thereof;
FIG. 21 is a front view of a first image of a fifth embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 22 is a front view of a second image thereof;
FIG. 23 is a front view of a third image thereof;
FIG. 24 is a front view of a fourth image thereof;
FIG. 25 is a front view of a fifth image thereof;
FIG. 26 is a front view of a sixth image thereof;
FIG. 27 is a front view of a seventh image thereof;
FIG. 28 is a front view of an eighth image thereof;
FIG. 29 is a front view of a ninth image thereof;
FIG. 30 is a front view of a tenth image thereof;
FIG. 31 is a front view of a first image of a sixth embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 32 is a front view of a second image thereof;
FIG. 33 is a front view of a third image thereof;
FIG. 34 is a front view of a fourth image thereof;
FIG. 35 is a front view of a fifth image thereof;
FIG. 36 is a front view of a sixth image thereof;
FIG. 37 is a front view of a seventh image thereof;
FIG. 38 is a front view of an eighth image thereof;
FIG. 39 is a front view of a ninth image thereof;
FIG. 40 is a front view of a tenth image thereof;
FIG. 41 is a front view of a first image of a seventh embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 42 is a front view of a second image thereof;
FIG. 43 is a front view of a third image thereof;
FIG. 44 is a front view of a fourth image thereof;
FIG. 45 is a front view of a fifth image thereof;
FIG. 46 is a front view of a sixth image thereof;
FIG. 47 is a front view of a seventh image thereof;
FIG. 48 is a front view of an eighth image thereof;
FIG. 49 is a front view of a ninth image thereof;
FIG. 50 is a front view of a tenth image thereof;
FIG. 51 is a front view of a first image of an eighth embodiment of an portion of a display screen with animated graphical user interface showing our new design;
FIG. 52 is a front view of a second image thereof;
FIG. 53 is a front view of a third image thereof;
FIG. 54 is a front view of a fourth image thereof;
FIG. 55 is a front view of a fifth image thereof;
FIG. 56 is a front view of a sixth image thereof;
FIG. 57 is a front view of a seventh image thereof;
FIG. 58 is a front view of an eighth image thereof;
FIG. 59 is a front view of a ninth image thereof; and,
FIG. 60 is a front view of a tenth image thereof.
In the first embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 through 5. In the second embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 6 through 10. In the third embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 11 through 15. In the fourth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 16 through 20. In the fifth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 21 through 30. In the sixth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 31 through 40. In the seventh embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 41 through 50. In the eighth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 51 through 60. The process or period in which one image transitions to another image forms no part of the claimed design. The broken line showing of a portion of a display screen in FIGS. 1 through 60 forms no part of the claimed design. The broken line showing of text and portions of the graphical user interface in FIGS. 1 through 60 represents environmental subject matter and forms no part of the claimed design.