Final answer:
The League of Nations and the Axis Powers stopped operations after World War II. The League of Nations disbanded because it was ineffective in preventing aggression, while the Axis Powers dissolved due to their defeat in the war.
Step-by-step explanation:
The two organizations that stopped operations after World War II are the League of Nations and the Axis Powers. The League of Nations disbanded due to its ineffectiveness in preventing aggressive actions by countries, as seen in the withdrawal of Japan, Germany, and Italy prior to World War II. The Axis Powers, on the other hand, dissolved due to their defeat in the war.