General situation:
Germany starts at war against Poland, France and England. Italy is neutral until they activate earlier, or when Paris Falls (defeat of France). Italy can attack neutrals and avoid a general war, but cannot enter or fly over British or French territories.
Victory Conditions:
6 major capitals and 42 strategic cities are represented. Capitals count as 5 points, strategic cites each worth 1 point.
Axis Requirements:
Germany and Italy need 24 points and one Capital to win. Germany and Italy have combined victory conditions.
Japan needs 18 points in any manner.
Allied Requirements:
Soviet Union must take Berlin and a total of 24 points to win. In 1939 they start with 15 points, so Berlin and 4 others
UK needs Rome and 24 Points to win. They also need to have either UK or USA controlling Paris. They start with 15 points in 1939.
USA needs Tokyo and 24 Points to win. They start with 7 in 1939.
Note: in all cases you have to control the 24 points for a complete turn to win.