Your Small Council

[blackmage_nuke]

Hand of the King - Eddard Stark, except I'll actually listen to him once in a while, if he wants to return to the north then replace with Ser Davos
Grand Maester - Aemon Targaryen, seems most capable and sane of all the maesters, if he get's too old to do his job then replace him with Sam
Master of Coin - Tywin Lannister, a bit more trustworthy than Petry Baelish, has so much money is not likely to embezzle from me and I cant pick Tyrion because he is:
Master of Law - Tyrion Lannister, seems to match my opinion on what is right and wrong, has been slighted by the justice system enough times to be sympathetic.
Master of Ships - Yara Greyjoy, she knows ships and isn't crazy
Master of Whispers - Varys, Assuming non of the faceless men will betray their core belifs to become politicians for me
Lord Commander of the Kingsgaurd - Jon Snow, knows how to command, has a wolf.

The only one I'm not really sure of is Master of Coin but I cant think of a trustworthy candidate who is good with numbers besides Tyrion.

edit: Actually
Coin - Tyrion
Law - Jon Snow, able to see beyond predjudices and change laws for the common good
Kingsgaurd - Syrio, first sword of Braavos