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 sixth image thereof;
FIG. 7 is a front view of a seventh image thereof;
FIG. 8 is a front view of an eighth image thereof;
FIG. 9 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. 10 is a front view of a second image thereof;
FIG. 11 is a front view of an third image thereof;
FIG. 12 is a front view of a fourth image thereof;
FIG. 13 is a front view of an fifth image thereof;
FIG. 14 is a front view of a sixth image thereof;
FIG. 15 is a front view of a seventh image thereof;
FIG. 16 is a front view of an eighth image thereof;
FIG. 17 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. 18 is a front view of a second image thereof;
FIG. 19 is a front view of a third image thereof;
FIG. 20 is a front view of a fourth image thereof;
FIG. 21 is a front view of a fifth image thereof;
FIG. 22 is a front view of a sixth image thereof;
FIG. 23 is a front view of a seventh image thereof;
FIG. 24 is a front view of an eighth image thereof;
FIG. 25 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. 26 is a front view of a second image thereof;
FIG. 27 is a front view of a third image thereof;
FIG. 28 is a front view of a fourth image thereof;
FIG. 29 is a front view of a fifth image thereof;
FIG. 30 is a front view of a sixth image thereof;
FIG. 31 is a front view of a seventh image thereof;
FIG. 32 is a front view of an eighth image thereof;
FIG. 33 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. 34 is a front view of a second image thereof;
FIG. 35 is a front view of a third image thereof;
FIG. 36 is a front view of a fourth image thereof;
FIG. 37 is a front view of a fifth image thereof;
FIG. 38 is a front view of a sixth image thereof;
FIG. 39 is a front view of a seventh image thereof;
FIG. 40 is a front view of an eighth image thereof;
FIG. 41 is a front view of a ninth image thereof;
FIG. 42 is a front view of a tenth image thereof;
FIG. 43 is a front view of an eleventh image thereof;
FIG. 44 is a front view of a twelfth image thereof;
FIG. 45 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. 46 is a front view of a second image thereof;
FIG. 47 is a front view of a third image thereof;
FIG. 48 is a front view of a fourth image thereof;
FIG. 49 is a front view of a fifth image thereof;
FIG. 50 is a front view of a sixth image thereof;
FIG. 51 is a front view of a seventh image thereof;
FIG. 52 is a front view of an eighth image thereof;
FIG. 53 is a front view of a ninth image thereof;
FIG. 54 is a front view of a tenth image thereof;
FIG. 55 is a front view of an eleventh image thereof;
FIG. 56 is a front view of a twelfth image thereof;
FIG. 57 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. 58 is a front view of a second image thereof;
FIG. 59 is a front view of a third image thereof;
FIG. 60 is a front view of a fourth image thereof;
FIG. 61 is a front view of a fifth image thereof;
FIG. 62 is a front view of a sixth image thereof;
FIG. 63 is a front view of a seventh image thereof;
FIG. 64 is a front view of an eighth image thereof;
FIG. 65 is a front view of a ninth image thereof;
FIG. 66 is a front view of a tenth image thereof;
FIG. 67 is a front view of an eleventh image thereof;
FIG. 68 is a front view of a twelfth image thereof;
FIG. 69 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. 70 is a front view of a second image thereof;
FIG. 71 is a front view of a third image thereof;
FIG. 72 is a front view of a fourth image thereof;
FIG. 73 is a front view of a fifth image thereof;
FIG. 74 is a front view of a sixth image thereof;
FIG. 75 is a front view of a seventh image thereof;
FIG. 76 is a front view of an eighth image thereof;
FIG. 77 is a front view of a ninth image thereof;
FIG. 78 is a front view of a tenth image thereof;
FIG. 79 is a front view of an eleventh image thereof; and,
FIG. 80 is a front view of a twelfth image thereof.
In the first embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 through 8. In the second embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 9 through 16. In the third embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 17 through 24. In the fourth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 25 through 32. In the fifth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 33 through 44. In the sixth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 45 through 56. In the seventh embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 57 through 68. In the eighth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 69 through 80. 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 80 forms no part of the claimed design. The broken line showing of text and portions of the graphical user interface in FIGS. 1 through 80 represents environmental subject matter and forms no part of the claimed design.