Pan-Anglo-Saxonism: A formal name for the ideology that calls for English speaking peoples to grow closer together and to form a single nation at its most extreme/optimistic. I don't consider this a new ideology, so mcuh as just a name for what already exists in OTL for all those who call for a united Anglosphere.
English Socialism(EngSoc): An ideology developed in Britain in reaction to the rising power of Germany, as well as a result of the inequality amongst the British masses. It called for Britain to throw off its old Norman influence, in the form of its upper classes and monarchy, and to instead embrace a more explicitly Germanic identity, while also seeing that all English are treated equally. This would also mean removing the non-Germanic influence in the English language,renaming cities, taking more "German" sounding names, and also joining Germany in an alliance. This movement would particularly pick up speed in the aftermath of the Anglo-German War, which would see the UK broken up into its constituent nations, while also not being treated to badly by their German occupiers. It also really helped that the British Government, Royal Family included, had already left Britain a year before and had been leading the nation in a failing war, that they are often blamed for starting, from afar in Canada. In terms of economy, English Socialism is basically the OTL Nordic Model, though it still goes for rather Brutalist aesthetics that one would not find out of place from the OTL Eastern Bloc. In terms of government, English Socialism still calls for a democratic nation, though it to be more accessible to the regular people and to not just those who can afford to campaign elections. When it comes to religion, EngSoc is about as tolerant to religion, in public, as the French in OTL are, though otherwise it doesn't bother much with it.