Let's say Hitler goes through with the military parade in Paris on July 27, 1940, and is successfully assassinated by Schulenburg.
Göring, who has just recently (too recently?) been named Reichsmarschall, is now in charge. Hitler had set it up this way for the precise reason that, were he to die, there would be a clear line of succession. So Hermann is now Führer und Oberster Befehlshaber der Wehrmacht.
Göring is palatable to the Wehrmacht, to the Party, and to the People ("I flew with Red Manny!"), and the Luftwaffe's racking up points in the Kanalkampf.
If Göring decides to go ahead with the BoB, his popularity is going to take a dive once things start going sour. Hess, Goebbels, and Himmler going to start circling, not to mention what commanders like Witzleben might try.
Göring may stand a better chance of negotiating with the Allies than Hitler, especially if he replaces Ribbentrop with someone like Neurath (Goebbels and Hess will be happy to help with that). Göring always was a Wilhelmine Imperialist, and most potentates were champing at the bit to tie things up in the West so they could go into the East.
If Göring can win a peace, then we can expect a relatively short and nasty German-Soviet War wherein the USSR utterly smashes the Axis in the near future. The likely end will be a German military state propped up by the West as a buffer to the Soviets, like a European South Korea. Whether this leads to a General European War is anybody's guess.