This article is based on the annual reports presented by the Head of the Physical Sciences Division of the Russian Academy of Sciences at the General Meetings of the Division in April 2021 and April 2022. It describes some scientific results in physics obtained in 2020–2021 at the research institutions (institutes of the Russian Academy of Sciences) under the individual powers of the Russian Academy of Sciences stipulated by the regulations of the Government of the Russian Federation no. 521 dated June 5, 2014, and no. 1652 dated December 24, 2018. The information about the research in different fields of physics carried out at these institutions is summarized briefly and illustrated by examples of some bright scientific breakthroughs.