Kill Henry Mitchell.

Promote one of your men to Underboss.

Collect all level 2 and level 3 firearm upgrades.

Control all crime rings.

Eliminate four rival families.

Kill 750 mobsters.

Find a level 3 firearm upgrade.

Control five crime rings.

Kill 500 Mobsters.

Eliminate two rival families.

Eliminate 5 made men with the appropriate kill condition.

Send your men to attack a venue from the Don's View.

Promote one of your made men to Capo.