I think I can give you five-fold polar world, maybe a bit of a stretch, and mainly post-WWII.
China and Russia remain at odds following the fairly serious 1970(?) border clashes which did result in loss of life.
Britain has smoother decolonisation, maybe even earlier, but definitely smoother and slicker. They remain a major trading partner with India for example, where the trade is tilted in Britain's favor 60-40, or maybe only 55-45. Britain rebuilds as an economic powerhouse.
The U.S. goes earlier and harder in Vietnam, which turns into a very mixed bag. The U.S. also builds up conventional forces in western Europe the equal of Russia and the Warsaw Pact. This one has a stabilizing influence.
And fifthly, and one of my favorites, the Non-Aligned Movement is much bigger and more influential. Many developing countries don't merely land somewhere on the number line between capitalism and socialism, but develop their own sweet spots of a mix between formal and informal economies and even have a thing or two to teach the West. For example, of course there are multiple paths to becoming a doctor and of course about two-thirds of our doctors formerly worked as nurses, how else would you do it? (!) (?)