Assuming all the big players survive the war in some form and develop nuclear weapons...
The Axis is in North Africa and the Middle-East, and of course has Eurasia from the Ukraine to the Atlantic to play with.
The British have the run of the Sub-Saharan Africa, and several post-Raj states in India(East Pakistan, West Pakistan, a Sikh state, Burma), in addition to Singapore and ANZAC territory. They had to accept Indian independence and the loss of most European possessions in the Pacific to Japan.
The Japanese and Soviet Union compete for the ear of Congress India, but with the Japanese fully committed in China and Russia cowering behind the Urals neither are in the position to waste resources bickering over Northern China and Mongolia.
The United States had plenty of time to reverse the Good Neighbor policy and carve up much of the Americas into satellites and territories, preserving the fiction of not joining in the European war by ostensibly aiding the British and the French exiles in the exaggerated threat of the South American Axis. Hegemony in Brazil and Argentina is a manpower sink, not stable like Haiti or Nicaragua have become after massive repression.
Which leads us to the intrigue -
To start with, Japan has basing rights in Peru and Chile, has secret armies poised to strike Burma, Singapore, and northern Australia, and has a mostly unsuccessful go of arming rebels in British Africa from Singapore. The Philippines is in the unique position of having a government firmly in the pocket of Japan but still being a military outpost of the United States.
America arms decolonial movements in British Africa in lieu of the weakened Soviets, who they also keep alive with a constant flow of supplies. The fact that the British helped themselves to survive the war by selling oil to Japan to undermine the American embargo played into later realpolitik of preventing global nuclear war by preventing any one power from getting too strong or weak, with the Soviets being too weak for their liking. There is also Canada, the pervasive influence of German propaganda in defaming the British in American eyes (though failing to make Americans love Germany), and the British intervention in Argentina (to secure grain supplies) despite it being a Latin Axis member won for the US sphere of influence by the blood of American soldiers. The Americans are the giant in the room, and German military strategists expect the entire world to eventually be divided between the World Axis and American influence.
In that vein, the British are trying to fill that role. If China has to wait 50 years, it will fall to either communists politically sympathetic to a Russia that is a dog of the United States or to a republican regime itself a dog of the United States. Therefore a steady stream of British smuggling to Hong Kong and other Chinese ports exists. In turn the Japanese keep trying to get Congress India to go for reconquista of the Pakistans and Burma.
The Germans, after carving up Arabia by turning on their Arab war-time allies (they are Semites after all) and securing control of the oil resources, set up a friendly regime in Aryan Persia; from where they arm fringe movements in northern India and West Pakistan. And they consistently prove to the world that they will be one of the two last superpowers by showing their fanatic determination, even in the face of nuclear apocalypse, such as failing to blink in the Irish missile crisis (the German missiles stayed, the British countered with a nuclear platform in geosynchronous orbit above Berlin).
In summary the United States is a victim of its own success, mired in the occupation of Brazil and other areas in the Americas; Germany has all the living room and oil it ever wanted, and is accordingly ossified and static, simply waiting for the final war that will give it the world (or wipe it off the face of the planet, which is where the proposed Lunar and Martian colonies fit in); the British Empire, even by consolidating Sub-Saharan Africa and its immense natural resources, is still without comparatively loyal Indian manpower a tinpot, a tinpot of great scientific achievement and military skill, but a tinpot none the less; the Soviets are a garrison state that builds lots and lots of nukes and relies on U.S. aide, essentially the lynchpin in the United States nuclear umbrella aimed against Japan and Germany; and the Japanese have as much raw materials and manpower between Indomalaya and China as they can use, but only room for so much technological process, so much industrially development, and essentially their brightest future still involves spending the rest of the century cementing their grip in China rather than expanding into space or winning the technological arms race.