Long story but WW2 has reduced if not zero American involvement and drags on another year or so. For railways this essentially means that a lot of the Big Four start Petitioning the War Department for permission to design more permanent solutions to the need for locomotives than the WDs. So with SR not much is changed other than the addition of the G1 "Victory" Class 4-8-0s. This class was originally drawn up to provide a similar service to the P2s (which again due to the WD are not rebuilt by Thompson) but better suited for the SR. Bulleid originally draws them up as essentially just as powerful as the P2 but with smaller drivers however the WD ask for larger drivers for higher speed operations so that its not just the SR's answer to the WD 2-10-0s. Eastleigh builds 25 of these between 1944 and 1949 with BR rebuilding them with
Walschaerts from 1953. They last into Strategic Reserve with all but two (2D-14 and 2D-22) broken up in the late 1990s.
GWR is a lot more convoluted and is very much a messy affair - They plan to very much expand post war and therefore spend a lot of money in the dying days drawing up for said expansion. The only real "War Baby" of the GWR is the "River Class" 4-6-0+0-6-4 Garratt and the digging up of Collet's 2-10-2T design as the 82XX, both of which are intended to allow locomotives to be pulled away from the Coalfields and onto the mainline. Essentially to free up the Kings from the Ebbw Vale line. There's only one River Class built and a small handful of 2-10-2T locos built before Hawksworth, seeing the end of war, changes tack and works on a Standard line. Some input from his previous work with Stanier leads to him proposing two express engines (a 4-6-4 and 4-6-2) for mainline duties. The Baltic is his answer to the Devon Banks and is the planned King successor and the Pacific is more of a general engine. One prototype of each gets built before BR comes in who then cancels the project since they were starting to go cripplingly overbudget. He also drew up many more designs although of these the only OTL difference is a small handful of 85XX class 2-6-0PTs which mainly work in the Forest of Dean.
LNER has ambitions to build a whole new line of locomotives with Peppercorn proposing 2-8-2s, 4-6-4s, 4-8-2s, 2-8-4Ts and even a 4-8-4. Only the 4-6-4 gets built as the Peppercorn W1 with management preferring to plug the gap with proven designs. The only other thing to come out of it is the BR 9P which is essentially a modified Peppercorn 4-8-2 with a Standard Boiler.
LMS is probably the least changed although a number of designs are drawn up and seriously considered. Stanier proposes a 4-8-0 as an 8MT design, a 4-6-4 as a next generation 8P, a 9P 4-8-4, and a 10F 2-10-2 for coal trains. Fairburn continues to pursue a 4-6-4 but is personally more keen on diesel designs. Ivatt is a realist and doesn't really see a viability to diesel immediately but continues on the 10000 and 10001. He proposes to move more towards principals of Super Power to keep fuel costs down and power output up and so proposes spins on previous designs. He suggests a 2-10-4 on the basis of the Stanier 10F and also proposes a 9MT 2-8-4 "Black Seven" which would later form some of the basis for the Riddles 9MT 2-8-2. Riddles himself also gets a word in on the LMS's demands for a 10F and independently submits a 2-6-6-4 11MT but this is never seriously considered (both due to politics and it being a wildly impractical idea in the eyes of the LMS).
BR is also similar in the standard line, however there are some fairly major differences on the more powerful end of the spectrum. The increased traffic due to war never really goes away and BR start to consider things beyond the planned 9F. They request Riddles to draw up plans for both a passenger and mixed traffic engine to fulfil the 8-9 power bracket and a freight engine even more powerful than the 9F. The first built is the Riddles 9MT 2-8-2 which is basically a 9F boiler fitted to a Mikado frame to allow for higher speed and greater versatility. The 9P is essentially a combination of the Peppercorn 4-8-2 and the Stanier 4-8-4 but this almost did not get built. However, an accident on the ECML that takes out a Gresley A4 and a Peppercorn A2 leads to BR allowing Riddles to built the 4-8-2 as a replacement. One of these becomes "Evening Star" instead of the 9F and is the last BR loco finished ever. Finally the colossal 10F which is a one off built by Beyer Peacock to essentially a cut down AD60 4-8-4+4-8-4 design. BR were originally going to go with a Riddles simple articulated design but concerns were raised over clearances and curve tolerance, leading Beyer to step in and suggest the design which gets built. Finally there is also the 5MT 4-6-4T which has frames cut but is never finished (with a replica built in the 2000s) and also the Class 5 Glens which are a small series of 4-4-2s built around the same time as the Clans for Scottish service replacing the slew of 4-4-0s and 4-4-2s.
BR also inherits a far more profitable narrow gauge network briefly so starts working on improving that but aside from the 2-6-6-2Ts and 4-6-4Ts for the L&BR however sells most off to enthusiasts throughout the 1960s aside from the Vale of Rheidol and L&BR which they can't find anyone willing to take it over who is also willing to fulfil freight contracts that BR had brokered with local industries like Mines. These then become not only the last location of steam outside of reserve on BR but also the last steam on revenue freight in the UK.
You are more than welcome to question my reasoning on any decision here - some of it is simply "because its cool" with reasons tbd later. This also does not include pre WW2 changes that I've use minor butterflies to make but they are minimal for BR at least.
Interesting, that said my own British steam ideas do involve the US a bit more heavily and not just in WWII.
To start, one idea I had for a POD would be for Robinson to get his proposed GCR 2-10-2s built in 1912, after modifications that include the use of Walscherts Valve Gear. While only fourteen are built, they do inspire the GCR to build their own 2-10-2 design from scratch, the LNER classifies these respective classes as S2 and S3 - also worth nothing is that the S2 class were retro-fitted with smoke deflectors and also given names paying homage to American railroads. Soon after the L&YR Hughes 2-10-0 similarly is born thanks to the GCR's inspiration, as are 4-4-2, 4-6-2, and 2-10-2 designs for the Caledonian. This helps to set a precedent for larger steam locomotives on British soil in the years thereafter. Especially where the Big Four and their needs for freight and express passenger engines are concerned.
LMS allows Fowler to nix the Midland's design policies with his designs for a Pacific and a Mikado, respectively working on expresses and heavy freight. This leads to further openness to larger locomotives. Later on, Stanier builds a 9P 4-6-4 for expresses, a 10MT 4-8-4 for freight, and a 9F 2-8-2 for mixed-traffic that uses the same boiler design as the one for the Princess Royal class. In addition to these designs a 6MT class of 2-6-2s are built for use on smaller, shorter trains. Nonetheless, the Black Five and 8F are still prominent and successful designs.
GWR is mostly the same as OTL like you said at least at first. For one thing, I imagined them also building those Collett 2-10-2Ts for use on coal traffic in Wales. However, another idea I pondered if what if Hawksworth were to be allowed to build his County class as Pacifics. To that end, I could see the County class being a sort of mixed-traffic type with the Cathedral Pacifics being for faster express trains. Topping that off I also thought of Hawksworth getting to build his proposed 4-4-0 locomotive, and is also inspired by the Stanier Mikados to build a Mikado to pull Heavy Freights in the place of older 2-8-0 locomotives.
LNER starts off with an argument between Gresley and Edward Thompson over the idea of standardizing the locomotive fleet. Management offers a compromise where Gresley is able to build locomotives in scenarios where he sees fit, but also has to work on standardizing the fleet more. Gresley builds the P2 Mikados and gets to build his I1 fleet of 4-8-2s for the ECML, but he also builds a S4 2-10-2 for use on heavy freights (with WD engines also joining the fold later on). Thompson's designs for B1 4-6-0s, L1 2-6-4Ts, O1 2-8-0s, and K1 Moguls are both built en masse to replace the oldest pre-grouping locomotives, with the remaining ones mostly being the better models like the GER 4-4-0s/4-6-0s and the GCR 9J/LNER J11 0-6-0s. In spire Thompson himself decides to retire after not even two years as CME due to personal reasons. Peppercorn takes over as a result, and he builds the I2 class of Mountains instead of the A2 and is also the one who gets to rebuild all the Gresley Pacifics including Great Northern. He also proposes a W2 Baltic 4-6-4 and a 4-8-4, but neither get off the ground.
The Southern Railway operates Pershing 2-8-0s and a few other war machines, which are augmented by Maunsell's 4-8-0s in the 1920s. Bulleid's first proposal for a Pacific is modified to make it more suitable for mixed traffic and the need to be low maintenance, creating the Walscherts-equipped G1 class of 4-8-0s instead. During the BR days, the Pershings and both classes of 4-8-0s are augmented by USATC types of both the S160 Consolidation type and the S200 Mikadoes. He also gets the chance to build some 4-6-4Ts that are used for shorter-distance trains and use the Battle of Britain class' streamlining. On a further passenger train side, Bulleid also builds both his proposed "Battleship" 2-8-2s and Merchant Navy 4-8-2s. The Merchant Navies, alongside the Gresley/Peppercorn Mountains, prove to set a further precedent for BR later on. The Battleship class in particular becomes famous for its use on the Pines Express over the S&DJR.
BR Standards are where I've been having the most fun with what if designs, in part because of ideas I had for oil woes that stem from the Middle Eastern backlash against Israel, which would eventually lead to the Soviet Bloc ingratiating itself with those Arab nations. As mentioned before, the USATC engines that stay in Britain mostly work on the Southern region, and are placed in the 91XXX numbering range. Meanwhile, the Standard 8 Pacifics get serveral examples built due to these oil woes. The biggest changes however are several new classes. These start off with a Standard Class 5 Atlantic for use on various routes in Scotland, and are a test bed for three-cylinder design under Riddles. Followed by a Standard 8 Tank, which are 2-8-4Ts which were built to standardize the tank engines used on Western Region coal traffic. Then, Riddles builds several more Standard 8 Pacifics for further development. However these would only be preambles to Riddles getting the final word on BR steam.
The Standard 9 Mountain and 10F 2-10-2 engines were first built in 1954 after extensive testing of the biggest steamers still in service. These large engines share boilers, the use of Bulleid-Firth drive wheels, four cylinder drive, and a four-axle tender design. The Standard 9 is most at home on express passenger trains and the then-budding intermodal freight traffic. Whereas the 10F proves to be the critical darling of freight traffic especially on the WCML and in Wales, with 9Fs handling what few trains they couldn't handle. Both classes were among the last standing alongside the Standard 5 4-6-0 as steam came to a close, and several of each are in preservation today.