It’s been over two years since the first game and 35 years since the movie sequel came out. The team takes the game and tries to expand on the original movie plot and fill in some holes within the story. So how is it that with all this time on their side, it tends to fall flat? 
The story starts out with you (Domenic, who is no where in the movie) and your boss in Havana at a meeting with all the families. Shortly after the meeting breaks, you’re getting ready to party down at the New Year’s eve party when all heck breaks loose. The dictator that was friendly to the mafia has resigned and Havana turns into civil unrest. Your job is to get your boss and family back to the airport, and out of Cuba. You’re thrown into mobs of people and shooting military while escorting your family to the plane. Just before you get to the plane, your boss is shot and killed. You and the rest of the family make it on the plane and fly off to New York. On the trip back Micheal Corleone discusses who will take over as boss and eventually picks you.
When you get back to New York, you are now the boss of the New York family. The issue is that there isn’t a family, it’s just you. Micheal and others are there to give you advice as to how to grow the family, picking up soldiers, taking over businesses, bribing, etc. Depending on what your assignments you need to make sure you have the right soldiers with you. Each soldier has different skills, such as bruisers, arsonists, safecrackers. Eventually your family will end up being a group of seven. One underboss, two capos, and four soldiers. You will have guards for each business you take over to defend that particular place. Hire too few and your rivals will take it back over, hire too many and it will eat into your money.