First battle of El Alamein - Allied victory
Fought on El Alamein on Octuber 23, 1942, between the German-Italian army and the British' army, the latter had a far larger contingent of soldiers and tanks, which led them to win the battle.
Operation Torch - Allied victory
On November 8, 1942, the forces of the U.S. and the U.K. invaded French North Africa, specially French-held territories of Algeria and Morocco. The operation included the Allies control over the sea, air, and land. By May, 1943, the German-Italian forces couldn't do anything else but surrender.
Battle of Tobruk - German victory
On June 21, 1942, the Germans attempted to regain control of Tobruk, Libya (Taken by British in 1940), their use of artillery, dive-bombers, and panzer forces, led them to victory.
Battle of Tunisia - Allied victory
At the beginning of the Battles of Tunisia (17 November 1942 – 13 May 1943), Germany and Italy were at a favorable position, however, The Allies (American, French and British Imperial forces) ended up winning, due to their strong actions of intercepting and preventing their opponents' moves.