An interesting note of the alternate history of Red Alert, the backstory of Red Alert 3 implies that the Empire of the Rising Sun is a victorious Imperial Japanese Army since their possessions including all of the Greater East Asia Co-Prosperity Sphere at its height, including all of China and the Hawaiian island. Which implies that unlike in Red Alert 2 which has America still defeat Japan in that timeline, Red Alert 3 has Japan beat America instead.
In RA3, the Soviets messing with the Time Machine created the divergence for Japan to become the Empire of the Rising Sun. In the RA1, RA2 timeline Japan appears to have been defeated in an alternate Pacific War (perhaps in the late 30's early 40's) as evidenced by the Arizona memorial in Pearl Harbor and the existence of a pro-Allied, unified Korea. It would fit that Japan took part in the invasion of the USSR in the Second Great War, because they would have been Allied aligned after their defeat (like OTL Japan?).
RAII's timeline seems to throw everything out the window. Maybe butterflies stopped Japan from going to war in the Pacific and they were able to overrun Asia while the Allies fought the Soviets in Western Europe?
Rough TL (As I understand it):
1918 First Great War Ends, Soviets control Russia.
1924: Einstein arrives from OTL(ish) and removes Hitler. Germany remains a pro-Western Republic
1941?: Japan attacks the United States, Pacific war begins.
1944-45? The Unites States defeats Japan, liberates Korea. Both Japan and Korea join the Allies. USA withdraws into isolation.
1945-1950: Stalin begins making terrirorial demands in Eastern Europe against Poland, Finland and the Baltics
1950?: Stalin invades Western Europe. Second Great War begins. The USSR overruns Germany, Greece, Italy and France. Britain stands alone. They re kept afloat by US aid.
1950-5?: The United States joins the war as the Soviets unveil their A-Bombs. The Allies push for Moscow using the Chronosphere device, the Soviets are defeated. Allies develop atomic weapons.
1950-70's?: The Allies install a pro-Allied Soviet government, they will control who is put into office. During this time the World Socialist Alliance is formed consisting of Libya, Iraq, Cuba and Soviet Russia. The USA withdraws into isolation.
1970-1972?: The Allies install Alexander Romanov as Premier, a puppet of Yuri, the USSR begins to rearm rapidly.
1972: The Third Great War begins as Yuri disables the Allies nuclear weapons. USSR invade the United States. Western Europe is cowed by the threat of nuclear annihilation.
1972-1974?: The destitution of the Soviet nuclear weapons in Poland draws Western Europe into the war. Soviet invasion of Germany is repelled, the Allies launch Operation Chronostorm and defeat the USSR.
1974-?: Psychic Dominator Crisis. Yuri's antarctic base is destroyed by a combined Soviet/Allied effort.
EDIT: I realize this is very off topic, sorry OP
I guess you could apply this as a TL? Hitler dies or is killed in before the Nazi's ascend to power and the Weimar Republic by some miracle doesn't collapse. Germany is drawn towards Western Europe, re-conciliating with France and Britain throughout the 1930's and forties. The Soviets attack Finland in 1939 which exposes weaknesses in Soviet doctrine. Stalin begins brutally rebuilding the Red Army.
Japan ,against all sense,enters into a suicidal resource war against the United States and the Western powers, following alternate embargoes for continued aggression in China. They launch a surprise attack on Pearl Harbor, the Philippines and the European colonies. They are rapidly defeated by an enraged United States who forces them to relinquish Korea which is unified as a pro-Western state. The war is bloody however, the US sans nuclear weapons is forced to invade and occupy the island nation at great cost in lives and material. As Japan pulls out of China, Stalin begins arming Mao's forces. The Chinese civil war will inevitably end in a Red Chinese victory, exhausted from an extended war with Japan the US is loathe to intervene.
Absent the Second World War, the Red Army rebuilds and is stronger than ever. Stalin begins land grabs against the Baltic States much to the alarm of Western Europe. Britain, France and Germany secretly call for the formation of a joint defense effort in the event of Soviet aggression, citing failures of the League of Nations. The Soviets meanwhile engineer a casus belli in the Baltic's and invade, shattering the local militaries in mere weeks. The Allied Nations is formed, following the annexation by the USSR of the Baltic States; most of the nations of Europe, for the first time in history, are unified against a common threat.
Stalin however has grown in confidence as the Allies back down from the Baltic's, likewise the United States in China. Alcoholism and his advanced age has changed the once once pragmatic Stalin, who is buoyed by the performance of the Red Army, enthusiastic advisers (sycophants are the only people left after numerous purges) and a secure Asian flank adopts the dream of a Communist Europe.
In 1950, the Second Great War begins when the Soviets invade Poland. The reluctant Allied nations of Europe march to war but are rapidly overwhelmed by the experienced Red Army forces. The Allied nations withdraw to Britain as much of the continent is conquered, the US meanwhile debates entering another bloody war.