You will have to play through all 11 stories for this trophy. The stories are (in the order you will play through them):
Molly's story - interact with her diary on the dresser to begin the story.
Odin's story - Pick up his binoculars to begin the story.
Calvin's story - Go into the 'command centre' and interact with the space helmet to begin the story.
Barbara's story - Interact with the comic on the dresser to begin the story.
Walter's story - Interact with the piece of paper below his name to begin the story.
Sam's story - Pick up the folder on the desk to begin the story.
Gregory's story - Pick up the piece of paper in his cot to begin the story.
Gus' story - Two beds over from Gregory's, pick up the poem to begin the story.
Milton's story - After using the rope to pulley you up to Milton's room, interact with the paper in front of you to begin the story.
Lewis' story - Interact with the box in Lewis' room labelled 'Lewis Finch' to begin the story.
Edith/Edie's story - After entering Edith's room, walk forward and interact with the quill to sit down and begin the final story.