The Free French had been organized as an entity in June, 1940. In North Africa FFF units were fighting alongside the British Commonwealth forces even as the colonial administration of much of the French Empire in Africa remained loyal to the legal government in Vichy, making for an interesting quasi civil war aspect to the fighting there.
In China, the Battle of South Henan saw a victory for the Chinese National Revolutionary Army, or as normally referred to, the Nationalist.
Heinrich Himmler, head of the German SS organization, visited Auschwitz and ordered it expanded in order to take an additional 30,000 prisoners. Orders were also given for the construction of another camp nearby designed to take 100,000 Soviet prisoners.
Bulgaria signed the Tripartite Pact and became part of the Axis. You can read more on that here:
Also in that item, you ca read about the creators of the Captain American cartoon requiring and receiving police protection.
W47NV (also mentioned above) started commercial FM radio broadcasting, becoming the first radio station to do so. The station still exists, and is located, perhaps predictably, in Nashville, Tennessee.
