Awesome idea RH. I'd go with...
My Picks
1. Tyrion Lannister - Will be the advisor to my war general below. Smart, ruthless, cunning. He's epic and awesome in all ways except just not a great warrior. (But he's not a bad warrior!)
2. Robb Stark/Grey Wind - great war general, good fighter, tons of potential. The most well-rounded character. <--- Concur again. Plus he's got a pimp dire wolf with him. Can't go wrong here.
3. Jon Snow/Ghost - Thought long and hard about this one. Robb is my war general, so I want someone that will listen/follow him. I would have liked a stud warrior like The Hound or the Mountain, or even Jaime... but would any of them follow Robb? Jon and Robb are brothers and would fight for each other. Plus then I get a second awesome Dire wolf in my army. Plus I don't want Tywin contradicting Robb or Tyrion.
4. Daenerys Targaryen - Hot. And I wait for a while to get me some badass dragons. Yes please.
5. Brienne of Tarth - Awesome warrior, (and that partly makes up for not taking a Clegane or Jaime.) Loyal. Trustworthy. Honorable. I'll take her.
Other People I Considered:
-The Hound/The Mountain/Jaime Lannister: Some of the best warriors in Westeros. I just don't think they'd mesh well with Robb as their leader. Plus, can you trust them all?
-Tywin Lannister: Had to take him or Tyrion for sure. Plus super rich.
-Arya Stark/Nymeria: awesome character, but too young for my dream team. <--- Agree she's awesome, but too young.
-Sansa Stark: she is redeeming herself, I think she will be a really important character in the future. <--- Agree again.
-Osha: the wildling woman with Bran & Rickon. she's smart and a badass and I would like to pick her, but the competition is too tough among the women. <--- I considered her, but would rather have Brienne.
-Loras Tyrell: Awesome warrior, could definitely be useful. But he's gay and I don't want him trying to seduce my war general.
-Shae: Would be good to have for keeping Tyrion happy, useful, and loyal, etc.
-Gendry: Strong and a good person. Could see him becoming very important later, like Arya.
-Jaqen H'ghar: Because he's awesome in the books, and would probably turn out to be pretty damn useful in my army. Like a freakin super uber ninja.
Avoid at All Costs
Joffrey the Psycho - sociopath <--- Agree
Balon Greyjoy - sociopath <--- Agree
Theon Greyjoy - traitor <--- Agree
Littlefinger and Varys - can't be trusted <--- Totally agree