This phase III trial studies how well pembrolizumab works compared to standard of care observation in treating patients with stage I-III Merkel cell cancer that has been completely removed by surgery (resected). Immunotherapy with monoclonal antibodies, such as pembrolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread.

This phase II/III trial compares the effect of immunotherapy with atezolizumab in combination with standard chemotherapy with a platinum drug (cisplatin or carboplatin) and etoposide versus standard therapy alone for the treatment of poorly differentiated extrapulmonary (originated outside the lung) small cell neuroendocrine cancer. The other aim of this trial is to compare using atezolizumab just at the beginning of treatment versus continuing it beyond the initial treatment. Immunotherapy with monoclonal antibodies, such as atezolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Cisplatin and carboplatin are in a class of medications known as platinum-containing compounds that work by killing, stopping or slowing the growth of cancer cells. Etoposide is in a class of medications known as podophyllotoxin derivatives. It blocks a certain enzyme needed for cell division and DNA repair, and it may kill cancer cells. Giving atezolizumab in combination with a platinum drug (cisplatin or carboplatin) and etoposide may work better in treating patients with poorly differentiated extrapulmonary small cell neuroendocrine cancer compared to standard therapy with a platinum drug (cisplatin or carboplatin) and etoposide alone.