Following trophies do pop on load
The Citizin Kane of Roast
Boogie Nights
The cast of Parrots
A Parrot-studded gala
Completing the first roast with Dirty Potter will unlock the following trophies
Breakthrough
Dirty Tricks
The fellowship of the long firm staff
The house of crouching dragons
Better never than later
The Avenger of Justice
All other trophies need to be done yourself + the 2 online trophies most of those can be boosted yourself if you own the game on pc as well