A. driving the Axis powers from North Africa
The initial landings in Algeria and Morocco by allied forces turned to be successful. They fought Vichy French troops who shortly after changed sides. The Victory in Tunisia, and the invasion of Sicily where the Italians surrender followed marks a decisive point in the region.
Together with driving the German forces out of Africa came the Mediterranean strategy, mostly led by the British and continued by Roosevelt, which meant ultimately seizing the region for the Allies.
The battle of Alamein is also of great importance, considered a decisive British victory with great significance as an initial turning point in the region.
B. the Battle of Normandy
Normandy, France July 1944 Perhaps the most well-known strategy and the most known battle as portrayed in the films, is basically approaching a direct and rapid liberation of western Europe. The Germans still considered that they had a tactical advantage to repel any invasion. Turned to be false.
E. the drive across France
Once Allied forces landed in the French territory they kept advancing onwards to liberate the remaining strongholds the Nazi were only resisting. The drive across France targeted Berlin but also included the liberation of cities among France that still was a hostage.
F. closing in on Germany from the east and the west
After the Stalingrad battle, which is considered perhaps the major turning point in WWII history, the Soviets managed it to press and recover the East Front while the British, American and French were doing the counterpart on the West. The taking over of the Nazi headquarters in Berlin was finally made as the Red Army was quicker to advance and gain Berlin.