Final answer:
Type II hypersensitivities include some autoimmunities and blood transfusion reactions, which are mediated by IgG and IgM antibodies binding to antigens on cells, leading to cytotoxic responses.
Step-by-step explanation:
Type II hypersensitivities include immune reactions that involve IgG and IgM antibodies binding to cell-surface antigens, which can result in cytotoxic responses. Among the reactions that fall under Type II hypersensitivities are some blood transfusion reactions and certain autoimmunities. Atopic dermatitis is not typically included as it is more often associated with Type I hypersensitivity. Delayed-type reactions are considered Type IV hypersensitivities and serum sickness falls under Type III hypersensitivity. Therefore, the correct answers from the options provided are 'Some autoimmunities' and 'Blood transfusion reactions' which are directly related to the cytotoxic mechanisms described for Type II hypersensitivities.