Well Germany would likely have control of all of europe at the time, and if the attack on Pearl harbour happens still, the Americans would likely not land on the Normandy beaches due to the reduction in allied soldiers (no brits) and the increase of German control and the likelyhood of far, far higher American casualties. Hell, they may not attack the Germans in Europe at all, just Japan in retaliation.
There would have been no way for the US to mount a campaign in Europe at all - the ability to base from Britain / British territories was the only thing that made the ETO possible for the US.
More to the point, there would have been no need for a US intervention in Europe, because Britain would have been out of jeopardy. The map of Europe and North Africa / Middle East would look quite different.
As Lemon pointed out, Italian pressure would likely have driven Britain out of North Africa entirely. Israel, as it exists today, would have been impossible - without British possession of Palestine and Egypt, it could never have been created. Further, with no way to mount an Allied invasion of Europe, there would have been no check on the concentration camps, and therefore likely no people - or a severely reduced number of people - available to populate Israel, even if there had been a way / will to create it.
Lacking Israel, there would have been no specific focus point for Pan-Arab anger, and the West would not have been propping up that focal point ... and it's likely that the current situation re: Muslim conflict vs the west would have developed along entirely different lines. Probably Italians would be the big targets, as the likely possessors of large tracts of the Dar al Islam.
Without any action in North Africa, and no invasions in France or Italy, there would be no distractions to draw German attention away from the Eastern Front. It's entirely possible that the Soviets could have still managed to push something through and come out on top, but it's equally likely that there would have been a series of German buffer states in the Baltics, Ukraine, Byelorussia, etc. I don't think that Germany ever had a real chance of true domination of the USSR, especially the eastern parts.
If something like this did come to pass - armistice with some former SSR's as buffer states between a vastly expanded Reich and Russia - you'd find that the southern SSR's, the 'Stans, would either break away or never have been incorporated into the USSR. They would likely have developed into either failed states or extensions of Iran / Turkey / etc. It's entirely possible, however, that there could have been a separate Kurdistan carved out somewhere.
With a substantially weakened Russia, there would have been no cold war between NATO and the Warsaw Pact - hell, Warsaw itself would have been part of some Grossedeutschland - and Russia would have had less impetus / capability to drive for a warm-water port: Afghanistan would never have happened.
There would likely have been a cold war of sorts, between US / Germany, but there would have been no NATO: most of the NATO nations would not exist. By probably 1965-1970, there would have been another war, though - Germany would not be content with Britain sitting there off her shores, as an island of defiance. Any war resulting from this would - if Hitler was still alive and in power - have gone nuclear, and likely have worked out badly for the USA / Britain, considering how much of their rocketry knowledge base came from Germany in our timeline.
Anyway. There's more that could be explored ... that's just the basic idea of it that I have.