About the races
Assuming that in Skyrim, same races still exist. Imperials, Wood Elfs, Dark Elves, High Elves, Khajiit, Nords, Argonian, Bretons, and Redguards. It would be a good thing if all the races could have an unique starting story. I'm about to tell all the startings I have in my mind...
Nords
Since nords are strong and brave people, your Nord hero would start at a military camp. You have been assigned to eliminate a bandit camp troubling people. But nothing goes as planned...
The Story:
You go to sleep a day before the assault, but in the night, the bandits assault the camp. Your friend arrives to give you a sword and you take out the bandits. But most of the soldiers die, and you leave the camp. Soon you arrive in a big city, and the main quest begins along with an "Origin Quest" for finding out who gave up your camp to the bandits.
The Causes
Since the bandits killed all your friends, you haven't been very sociable (-15 to Personality). But because of this, you had more time for training (+10 to Strength and Endurance). Also, you can rebuild an army for you to help in the Origin Quest.
Imperials
And because Imperials are very socialized, they start in a rich family, which gets jailed by some unknown group.
The Story
It is a normal day, and you're returning to home with your brother from the city. Your family is all home, and you start the feast. But suddenly, guards raid the house and arrest your mother and father. You and your brother are about to be arrested as well, but you escape the guards. After running back to the city, some mercenary arms you with a shortsword and tells the quickest way to the prison. You will have to rescue your parents from the jail, and take them to your family's lodge. And then, the main quest begins.
The Causes
Since you had to work with people to save your parents, it is easier to get to know people. [+5 to Personality]. Also, you learned something on the way to the prison. (+5 to Agility and Lockpick) Also, you get an Origin Quest to find out who betrayed your family. And you can rebuild the family's old lodge to it's better side.
Argonians
You begin your journey in a shadow of a big city, particularly in slums. But when the guards arrest your friend for a crime he never did, it is time to sneak in to the city.
I will add the rest of the races later, but now, I'm off to sleep. This was Sucra.