What are the Trophy qualities, and what do they do?

Trophy qualities are awarded for finishing (or nearly finishing) the Ambitions. There is at least one Trophy per Ambition, and often more; unlike the Legacy qualities (An Ironclad Will, Scion, etc.) they do not have any gameplay effects.

The full list is (some spoilers follow):

• A Daguerrotype of a Memorial, for completing the Father's Bones Ambition in any way that results in a burial at home
• A Model Monster, for obtaining your Father's Bones as a street-urchin
• Not Quite Human, for completing the Father's Bones Ambition as a street-urchin by

  turning into a zee-beast in a random event at zee instead of burying him in London

• A Letter of Commendation, for obtaining your Father's Bones as a poet
• A Shattered Coral Knife, for obtaining your Father's Bones as a soldier
• A Posthumous Medal, for obtaining your Father's Bones as a priest without having the Unaccountably Peckish quality
• A Glass of Teeth, for obtaining your Father's Bones as a priest while Unaccountably Peckish
• A Family Portrait, for obtaining your Father's Bones as a natural philosopher

  actually for recruiting Your Father as an officer

• An Autographed Copy of the Zong of the Zee, for completing the Zong of the Zee Ambition*
• An Impossible Restaurant Bill, for completing the Wealth Ambition
• A Folded Flag, for completing the Kingdom Ambition
• The Lights of London, for completing the Go East Ambition after

  telling the Exile that you'll "always return home"

• Restless, for completing the Go East Ambition after

  telling the Exile that "the zee is [your] only home"

• Those Final Mountains, for completing the Go East Ambition after

  telling the Exile that you "cannot rest until you've crossed the last horizon"

*The Autographed Copy shows up as a Curiosity, not an Accomplishment.