Humane Cosmetics Act of 2021 This bill generally prohibits animal testing in the evaluation of cosmetic products, and it prohibits the sale or transport of cosmetics developed using animal testing, subject to civil penalties. These prohibitions begin one year after enactment. The bill specifies exceptions to these prohibitions, including if such animal testing (1) is conducted outside the United States to comply with a foreign regulatory authority; (2) is pursuant to a specified finding that there are no nonanimal alternatives to test the safety of a potentially dangerous cosmetic product or ingredient; (3) is of a product or ingredient for a drug or device subject to regulation by the Food and Drug Administration (FDA); or (4) is required for a noncosmetic purpose pursuant to a state, federal, or foreign regulatory authority. Further, no animal-testing evidence may be used to establish the safety of a cosmetic product or ingredient that is regulated by the FDA after the effective date of this bill, subject to limited exceptions.