AU, from the end of 3x07 in which certain events don't happen and Brienne ends up as the reluctant guest of the Lannisters in King's Landing. (TV universe only, though some details from the books might sneak their way across)

in which Tommen discovers a new favorite band, Tyrion pays Jaime a favor, Jaime gets to reconnect with at least one of his children, Brienne is a responsible adult who might want to act up on a few fantasies, Loras and Renly are pro enablers and everyone is down with some healthy dismissal of gender roles.