The prompt specifies that everyone's bloodlusted and there's no option to surrender. If that's the case, it's a stalemate every time - for reasons that should be obvious, wiping out every single citizen of the US and the British Empire would never (under any circumstances) have been possible for the Nazis even with total military victory in mainland Europe, the destruction of Britain, and the unconditional surrender of the United States.

So to make it interesting, I'm going to pretend that that's the goal.

Round 3: Allies maybe win. No planes and no tanks most likely means trench warfare. This isn't necessarily the case as there were a lot of other developments that killed it off late in the Great War, like the invention of the moving barrage and the gradual improvement in infiltration tactics. That said, I don't see how the Wehrmacht can break through rapidly without either of their main technological advantages on land, which means this turns into a war between people who are used to trench fighting (Allies 1918) and people who aren't used to it, and are trained to fight with tanks and air support (Wehrmacht 1942) so the Allies might be able to run out the clock until Germany collapsed economically. It'd be a near-run thing though as Nazi Germany wouldn't suffer from the naval blockade the Kaiserreich did as they can send the Tirpitz out to solo the Royal Navy, which it would do comfortably, and then put Britain under siege. Allies 6/10

Round 1: Germans win. They smash through the lines on the Western Front with tanks and push rapidly into France. Even by 1918, the type of relatively modern squad tactics used by the Wehrmacht weren't widely used (AFAIK) outside elite infrantry units - even with minimal differences in equipment, the Wehrmacht would wipe the floor with the Allies in mobile combat. They'd take France in a few months (at most) and then invade Britain after annihilating the Royal Navy. The US could probably be brought to surrender by wiping out its navy, blockading it, and then bombarding its coastal cities (i.e. almost all of the major cities) into rubble from the sea. Germans 10/10

Round 2: Germans stomp. They're able to destroy Allied artillery batteries with ease and rip up trenches by bombing and strafing. Obviously the Allied air forces offer no resistance at all to the Luftwaffe - one Me. 109 could probably take on a squadron of camels or SE5s and win. Once the Wehrmacht break through the lines on the ground, the story is similar to Round 1 - they use their superior training in mobile warfare to take France in a few months or weeks before moving on to Britain and then the US. The only difference is that this time everything happens faster, and Chicago and Dallas get flattened too before the US surrenders. Germans 11/10

Round 4: Germans roflstomp. Allied trenches are occupied within hours, France is gone in weeks, Britain gets wiped out very quickly, and the US suffers much the same fate. Germans 12/10