Shortest game I ever played was less than 3 minutes.
On my first turn I bought St. Charles Place.
On the other player's first turn he bought on of the light blue properties.
On my second turn I bought Virginia.
On the other player's second turn he bought States Ave.
I mortgaged my 2 properties and traded him them for his one property and all his cash.
On his next turn he landed on Community Chest and couldn't pay the school fees.