Ironically the US supports Socialist governments so long as those socialists leave US interests alone. Without a USSR or a powerful enough Soviet remnant, they feel its either go along with the US or be gobbled up by internal fascists
As other's said the US will recognize the independence of Vietnam, Cambodia, and Laos. They become staunch allies of Washington, relatively quiet and backwards. Really not too important on the global stage as the Nazi's have no allies or access to the Pacific which becomes an American lake.
Mostly pro-American other countries such as Egypt may eventually come under the Nazi fold however. The west already had won the North African campaign by the time of Normandy (which I am presuming is the POD) so there is no way in hell the Nazi's get access to any of French Africa, instead this will be governed by the Free French. Perhaps the Free French heavily colonize Algeria though they are still a minority, resulting in an aparatheid like situation in North Africa?
No real difference
Hard to tell China is. It could be with the Soviets defeated Communism is seen as a failure and dooming Mao's movement. Contrary to popular belief Mao did not win the Chinese Civil War because of Soviet support, he won it because they found Japanese weapon caches that the Kuomintang knew of, but incompetently ignored figuring their American made weapons were better. In TTL, without Soviet support in the east, the Americans occupy Manchuria take the weapons and destroy them, thus denying them to Mao. The Kuomintang takes longer but I believe they win the war, with Mao and most of his army going north to the Soviet remnant and helping prop up Stalin.
This one I am not to sure of, I'd imagine hed see the US/UK as more of a threat to him, and while being friendly towards Germany not going too far to anger the western allies.
Eventually decolonialized, though with Hitler's and the Third Reich's position on race, I can not imagine these colonies supporting or being supported by Germany.
Though you didn't ask I added a couple
Korea - United and perhaps democratic, Kim may have started an insurgency war against the ROK government, which will likely result in a Korean War where China comes in to support the ROK government against Kim.
Cuba - American puppet military government. Very popular with tourists, gamblers and druggies.